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Finding the Third Proportional to 15,117.26 and 32,239.27

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Solution

The third proportional to 15,117.26 and 32,239.27 is: 68,753.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,117.26 : 32,239.27 = 32,239.27 : x
  2. Step 2: Convert to fraction form
    15,117.26/32,239.27 = 32,239.27/x
  3. Step 3: Cross multiply
    15,117.26x = 32,239.27 × 32,239.27
  4. Step 4: Simplify right side
    15,117.26x = 1,039,370,248.04
  5. Step 5: Solve for x
    x = 1,039,370,248.04/15,117.26
  6. Step 6: Final answer
    x = 68,753.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.