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Finding the Third Proportional to 17,853.75 and 26,228.25

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Solution

The third proportional to 17,853.75 and 26,228.25 is: 38,530.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,853.75 : 26,228.25 = 26,228.25 : x
  2. Step 2: Convert to fraction form
    17,853.75/26,228.25 = 26,228.25/x
  3. Step 3: Cross multiply
    17,853.75x = 26,228.25 × 26,228.25
  4. Step 4: Simplify right side
    17,853.75x = 687,921,098.06
  5. Step 5: Solve for x
    x = 687,921,098.06/17,853.75
  6. Step 6: Final answer
    x = 38,530.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.