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Finding the Third Proportional to 22,229 and 48,146.50

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Solution

The third proportional to 22,229 and 48,146.50 is: 104,282.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,229 : 48,146.50 = 48,146.50 : x
  2. Step 2: Convert to fraction form
    22,229/48,146.50 = 48,146.50/x
  3. Step 3: Cross multiply
    22,229x = 48,146.50 × 48,146.50
  4. Step 4: Simplify right side
    22,229x = 2,318,085,462.25
  5. Step 5: Solve for x
    x = 2,318,085,462.25/22,229
  6. Step 6: Final answer
    x = 104,282.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.