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Finding the Third Proportional to 49,038 and 77,748.75

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Solution

The third proportional to 49,038 and 77,748.75 is: 123,269.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,038 : 77,748.75 = 77,748.75 : x
  2. Step 2: Convert to fraction form
    49,038/77,748.75 = 77,748.75/x
  3. Step 3: Cross multiply
    49,038x = 77,748.75 × 77,748.75
  4. Step 4: Simplify right side
    49,038x = 6,044,868,126.56
  5. Step 5: Solve for x
    x = 6,044,868,126.56/49,038
  6. Step 6: Final answer
    x = 123,269.06

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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.