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Finding the Third Proportional to 22,508.50 and 48,506

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Solution

The third proportional to 22,508.50 and 48,506 is: 104,530.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,508.50 : 48,506 = 48,506 : x
  2. Step 2: Convert to fraction form
    22,508.50/48,506 = 48,506/x
  3. Step 3: Cross multiply
    22,508.50x = 48,506 × 48,506
  4. Step 4: Simplify right side
    22,508.50x = 2,352,832,036
  5. Step 5: Solve for x
    x = 2,352,832,036/22,508.50
  6. Step 6: Final answer
    x = 104,530.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.