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Finding the Third Proportional to 14,776 and 31,748

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Solution

The third proportional to 14,776 and 31,748 is: 68,214.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,776 : 31,748 = 31,748 : x
  2. Step 2: Convert to fraction form
    14,776/31,748 = 31,748/x
  3. Step 3: Cross multiply
    14,776x = 31,748 × 31,748
  4. Step 4: Simplify right side
    14,776x = 1,007,935,504
  5. Step 5: Solve for x
    x = 1,007,935,504/14,776
  6. Step 6: Final answer
    x = 68,214.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.