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Finding the Third Proportional to 14,829 and 21,747

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Solution

The third proportional to 14,829 and 21,747 is: 31,892.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,829 : 21,747 = 21,747 : x
  2. Step 2: Convert to fraction form
    14,829/21,747 = 21,747/x
  3. Step 3: Cross multiply
    14,829x = 21,747 × 21,747
  4. Step 4: Simplify right side
    14,829x = 472,932,009
  5. Step 5: Solve for x
    x = 472,932,009/14,829
  6. Step 6: Final answer
    x = 31,892.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.