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Finding the Third Proportional to 14,850 and 23,681

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Solution

The third proportional to 14,850 and 23,681 is: 37,763.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,850 : 23,681 = 23,681 : x
  2. Step 2: Convert to fraction form
    14,850/23,681 = 23,681/x
  3. Step 3: Cross multiply
    14,850x = 23,681 × 23,681
  4. Step 4: Simplify right side
    14,850x = 560,789,761
  5. Step 5: Solve for x
    x = 560,789,761/14,850
  6. Step 6: Final answer
    x = 37,763.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.