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Finding the Third Proportional to 11,679.19 and 26,281.97

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Solution

The third proportional to 11,679.19 and 26,281.97 is: 59,142.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,679.19 : 26,281.97 = 26,281.97 : x
  2. Step 2: Convert to fraction form
    11,679.19/26,281.97 = 26,281.97/x
  3. Step 3: Cross multiply
    11,679.19x = 26,281.97 × 26,281.97
  4. Step 4: Simplify right side
    11,679.19x = 690,741,881.38
  5. Step 5: Solve for x
    x = 690,741,881.38/11,679.19
  6. Step 6: Final answer
    x = 59,142.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.