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Finding the Third Proportional to 49,594 and 74,498

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Solution

The third proportional to 49,594 and 74,498 is: 111,907.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,594 : 74,498 = 74,498 : x
  2. Step 2: Convert to fraction form
    49,594/74,498 = 74,498/x
  3. Step 3: Cross multiply
    49,594x = 74,498 × 74,498
  4. Step 4: Simplify right side
    49,594x = 5,549,952,004
  5. Step 5: Solve for x
    x = 5,549,952,004/49,594
  6. Step 6: Final answer
    x = 111,907.73

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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.