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Finding the Third Proportional to 49,507.88 and 74,498.91

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Solution

The third proportional to 49,507.88 and 74,498.91 is: 112,105.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,507.88 : 74,498.91 = 74,498.91 : x
  2. Step 2: Convert to fraction form
    49,507.88/74,498.91 = 74,498.91/x
  3. Step 3: Cross multiply
    49,507.88x = 74,498.91 × 74,498.91
  4. Step 4: Simplify right side
    49,507.88x = 5,550,087,032.45
  5. Step 5: Solve for x
    x = 5,550,087,032.45/49,507.88
  6. Step 6: Final answer
    x = 112,105.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.