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Finding the Third Proportional to 49,592.50 and 74,497

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Solution

The third proportional to 49,592.50 and 74,497 is: 111,908.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,592.50 : 74,497 = 74,497 : x
  2. Step 2: Convert to fraction form
    49,592.50/74,497 = 74,497/x
  3. Step 3: Cross multiply
    49,592.50x = 74,497 × 74,497
  4. Step 4: Simplify right side
    49,592.50x = 5,549,803,009
  5. Step 5: Solve for x
    x = 5,549,803,009/49,592.50
  6. Step 6: Final answer
    x = 111,908.11

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Why These Related Problems?

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