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Finding the Third Proportional to 14,766 and 31,581

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Solution

The third proportional to 14,766 and 31,581 is: 67,544.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,766 : 31,581 = 31,581 : x
  2. Step 2: Convert to fraction form
    14,766/31,581 = 31,581/x
  3. Step 3: Cross multiply
    14,766x = 31,581 × 31,581
  4. Step 4: Simplify right side
    14,766x = 997,359,561
  5. Step 5: Solve for x
    x = 997,359,561/14,766
  6. Step 6: Final answer
    x = 67,544.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.