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Finding the Third Proportional to 48,535 and 74,339

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Solution

The third proportional to 48,535 and 74,339 is: 113,861.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,535 : 74,339 = 74,339 : x
  2. Step 2: Convert to fraction form
    48,535/74,339 = 74,339/x
  3. Step 3: Cross multiply
    48,535x = 74,339 × 74,339
  4. Step 4: Simplify right side
    48,535x = 5,526,286,921
  5. Step 5: Solve for x
    x = 5,526,286,921/48,535
  6. Step 6: Final answer
    x = 113,861.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.