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Finding the Third Proportional to 14,681 and 31,754

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Solution

The third proportional to 14,681 and 31,754 is: 68,681.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,681 : 31,754 = 31,754 : x
  2. Step 2: Convert to fraction form
    14,681/31,754 = 31,754/x
  3. Step 3: Cross multiply
    14,681x = 31,754 × 31,754
  4. Step 4: Simplify right side
    14,681x = 1,008,316,516
  5. Step 5: Solve for x
    x = 1,008,316,516/14,681
  6. Step 6: Final answer
    x = 68,681.73

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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.