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Finding the Third Proportional to 49,237.88 and 77,972.63

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Solution

The third proportional to 49,237.88 and 77,972.63 is: 123,476.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,237.88 : 77,972.63 = 77,972.63 : x
  2. Step 2: Convert to fraction form
    49,237.88/77,972.63 = 77,972.63/x
  3. Step 3: Cross multiply
    49,237.88x = 77,972.63 × 77,972.63
  4. Step 4: Simplify right side
    49,237.88x = 6,079,730,249.39
  5. Step 5: Solve for x
    x = 6,079,730,249.39/49,237.88
  6. Step 6: Final answer
    x = 123,476.70

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.