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Finding the Third Proportional to 22,632 and 48,766.50

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Solution

The third proportional to 22,632 and 48,766.50 is: 105,080.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,632 : 48,766.50 = 48,766.50 : x
  2. Step 2: Convert to fraction form
    22,632/48,766.50 = 48,766.50/x
  3. Step 3: Cross multiply
    22,632x = 48,766.50 × 48,766.50
  4. Step 4: Simplify right side
    22,632x = 2,378,171,522.25
  5. Step 5: Solve for x
    x = 2,378,171,522.25/22,632
  6. Step 6: Final answer
    x = 105,080.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.