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Finding the Third Proportional to 48,494 and 74,897

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Solution

The third proportional to 48,494 and 74,897 is: 115,675.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,494 : 74,897 = 74,897 : x
  2. Step 2: Convert to fraction form
    48,494/74,897 = 74,897/x
  3. Step 3: Cross multiply
    48,494x = 74,897 × 74,897
  4. Step 4: Simplify right side
    48,494x = 5,609,560,609
  5. Step 5: Solve for x
    x = 5,609,560,609/48,494
  6. Step 6: Final answer
    x = 115,675.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.