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Finding the Third Proportional to 15,740 and 34,063

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Solution

The third proportional to 15,740 and 34,063 is: 73,715.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,740 : 34,063 = 34,063 : x
  2. Step 2: Convert to fraction form
    15,740/34,063 = 34,063/x
  3. Step 3: Cross multiply
    15,740x = 34,063 × 34,063
  4. Step 4: Simplify right side
    15,740x = 1,160,287,969
  5. Step 5: Solve for x
    x = 1,160,287,969/15,740
  6. Step 6: Final answer
    x = 73,715.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.