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Finding the Third Proportional to 22,387.50 and 49,432.50

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Solution

The third proportional to 22,387.50 and 49,432.50 is: 109,148.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,387.50 : 49,432.50 = 49,432.50 : x
  2. Step 2: Convert to fraction form
    22,387.50/49,432.50 = 49,432.50/x
  3. Step 3: Cross multiply
    22,387.50x = 49,432.50 × 49,432.50
  4. Step 4: Simplify right side
    22,387.50x = 2,443,572,056.25
  5. Step 5: Solve for x
    x = 2,443,572,056.25/22,387.50
  6. Step 6: Final answer
    x = 109,148.95

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.