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Finding the Third Proportional to 13,915.13 and 31,708.13

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Solution

The third proportional to 13,915.13 and 31,708.13 is: 72,252.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,915.13 : 31,708.13 = 31,708.13 : x
  2. Step 2: Convert to fraction form
    13,915.13/31,708.13 = 31,708.13/x
  3. Step 3: Cross multiply
    13,915.13x = 31,708.13 × 31,708.13
  4. Step 4: Simplify right side
    13,915.13x = 1,005,405,191.02
  5. Step 5: Solve for x
    x = 1,005,405,191.02/13,915.13
  6. Step 6: Final answer
    x = 72,252.69

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.