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Finding the Third Proportional to 14,499 and 31,615.31

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Solution

The third proportional to 14,499 and 31,615.31 is: 68,937.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,499 : 31,615.31 = 31,615.31 : x
  2. Step 2: Convert to fraction form
    14,499/31,615.31 = 31,615.31/x
  3. Step 3: Cross multiply
    14,499x = 31,615.31 × 31,615.31
  4. Step 4: Simplify right side
    14,499x = 999,527,984.47
  5. Step 5: Solve for x
    x = 999,527,984.47/14,499
  6. Step 6: Final answer
    x = 68,937.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.