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Finding the Third Proportional to 22,171.50 and 48,655.50

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Solution

The third proportional to 22,171.50 and 48,655.50 is: 106,774.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,171.50 : 48,655.50 = 48,655.50 : x
  2. Step 2: Convert to fraction form
    22,171.50/48,655.50 = 48,655.50/x
  3. Step 3: Cross multiply
    22,171.50x = 48,655.50 × 48,655.50
  4. Step 4: Simplify right side
    22,171.50x = 2,367,357,680.25
  5. Step 5: Solve for x
    x = 2,367,357,680.25/22,171.50
  6. Step 6: Final answer
    x = 106,774.81

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.