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Finding the Third Proportional to 48,989.06 and 73,293.19

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Solution

The third proportional to 48,989.06 and 73,293.19 is: 109,654.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,989.06 : 73,293.19 = 73,293.19 : x
  2. Step 2: Convert to fraction form
    48,989.06/73,293.19 = 73,293.19/x
  3. Step 3: Cross multiply
    48,989.06x = 73,293.19 × 73,293.19
  4. Step 4: Simplify right side
    48,989.06x = 5,371,891,333.91
  5. Step 5: Solve for x
    x = 5,371,891,333.91/48,989.06
  6. Step 6: Final answer
    x = 109,654.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.