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Finding the Third Proportional to 49,491 and 81,607.50

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Solution

The third proportional to 49,491 and 81,607.50 is: 134,565.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,491 : 81,607.50 = 81,607.50 : x
  2. Step 2: Convert to fraction form
    49,491/81,607.50 = 81,607.50/x
  3. Step 3: Cross multiply
    49,491x = 81,607.50 × 81,607.50
  4. Step 4: Simplify right side
    49,491x = 6,659,784,056.25
  5. Step 5: Solve for x
    x = 6,659,784,056.25/49,491
  6. Step 6: Final answer
    x = 134,565.56

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.