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Finding the Third Proportional to 15,147.25 and 31,029

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Solution

The third proportional to 15,147.25 and 31,029 is: 63,562.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,147.25 : 31,029 = 31,029 : x
  2. Step 2: Convert to fraction form
    15,147.25/31,029 = 31,029/x
  3. Step 3: Cross multiply
    15,147.25x = 31,029 × 31,029
  4. Step 4: Simplify right side
    15,147.25x = 962,798,841
  5. Step 5: Solve for x
    x = 962,798,841/15,147.25
  6. Step 6: Final answer
    x = 63,562.62

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.