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Finding the Third Proportional to 48,498.75 and 72,450.28

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Solution

The third proportional to 48,498.75 and 72,450.28 is: 108,230.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,498.75 : 72,450.28 = 72,450.28 : x
  2. Step 2: Convert to fraction form
    48,498.75/72,450.28 = 72,450.28/x
  3. Step 3: Cross multiply
    48,498.75x = 72,450.28 × 72,450.28
  4. Step 4: Simplify right side
    48,498.75x = 5,249,043,253.20
  5. Step 5: Solve for x
    x = 5,249,043,253.20/48,498.75
  6. Step 6: Final answer
    x = 108,230.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.