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Finding the Third Proportional to 10,053.38 and 15,295.88

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Solution

The third proportional to 10,053.38 and 15,295.88 is: 23,272.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,053.38 : 15,295.88 = 15,295.88 : x
  2. Step 2: Convert to fraction form
    10,053.38/15,295.88 = 15,295.88/x
  3. Step 3: Cross multiply
    10,053.38x = 15,295.88 × 15,295.88
  4. Step 4: Simplify right side
    10,053.38x = 233,963,792.02
  5. Step 5: Solve for x
    x = 233,963,792.02/10,053.38
  6. Step 6: Final answer
    x = 23,272.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.