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Finding the Third Proportional to 48,532.75 and 99,418

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Solution

The third proportional to 48,532.75 and 99,418 is: 203,655.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,532.75 : 99,418 = 99,418 : x
  2. Step 2: Convert to fraction form
    48,532.75/99,418 = 99,418/x
  3. Step 3: Cross multiply
    48,532.75x = 99,418 × 99,418
  4. Step 4: Simplify right side
    48,532.75x = 9,883,938,724
  5. Step 5: Solve for x
    x = 9,883,938,724/48,532.75
  6. Step 6: Final answer
    x = 203,655.03

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.