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Finding the Third Proportional to 31,497 and 46,839

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Solution

The third proportional to 31,497 and 46,839 is: 69,654.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,497 : 46,839 = 46,839 : x
  2. Step 2: Convert to fraction form
    31,497/46,839 = 46,839/x
  3. Step 3: Cross multiply
    31,497x = 46,839 × 46,839
  4. Step 4: Simplify right side
    31,497x = 2,193,891,921
  5. Step 5: Solve for x
    x = 2,193,891,921/31,497
  6. Step 6: Final answer
    x = 69,654.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.