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Finding the Third Proportional to 50,877.70 and 74,792.11

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Solution

The third proportional to 50,877.70 and 74,792.11 is: 109,947.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,877.70 : 74,792.11 = 74,792.11 : x
  2. Step 2: Convert to fraction form
    50,877.70/74,792.11 = 74,792.11/x
  3. Step 3: Cross multiply
    50,877.70x = 74,792.11 × 74,792.11
  4. Step 4: Simplify right side
    50,877.70x = 5,593,859,624.76
  5. Step 5: Solve for x
    x = 5,593,859,624.76/50,877.70
  6. Step 6: Final answer
    x = 109,947.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.