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Finding the Third Proportional to 11,306.25 and 26,195.63

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Solution

The third proportional to 11,306.25 and 26,195.63 is: 60,693.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,306.25 : 26,195.63 = 26,195.63 : x
  2. Step 2: Convert to fraction form
    11,306.25/26,195.63 = 26,195.63/x
  3. Step 3: Cross multiply
    11,306.25x = 26,195.63 × 26,195.63
  4. Step 4: Simplify right side
    11,306.25x = 686,210,769.14
  5. Step 5: Solve for x
    x = 686,210,769.14/11,306.25
  6. Step 6: Final answer
    x = 60,693.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.