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Finding the Third Proportional to 22,902 and 48,265.50

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Solution

The third proportional to 22,902 and 48,265.50 is: 101,718.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,902 : 48,265.50 = 48,265.50 : x
  2. Step 2: Convert to fraction form
    22,902/48,265.50 = 48,265.50/x
  3. Step 3: Cross multiply
    22,902x = 48,265.50 × 48,265.50
  4. Step 4: Simplify right side
    22,902x = 2,329,558,490.25
  5. Step 5: Solve for x
    x = 2,329,558,490.25/22,902
  6. Step 6: Final answer
    x = 101,718.56

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.