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Finding the Third Proportional to 48,672.56 and 73,008.84

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Solution

The third proportional to 48,672.56 and 73,008.84 is: 109,513.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,672.56 : 73,008.84 = 73,008.84 : x
  2. Step 2: Convert to fraction form
    48,672.56/73,008.84 = 73,008.84/x
  3. Step 3: Cross multiply
    48,672.56x = 73,008.84 × 73,008.84
  4. Step 4: Simplify right side
    48,672.56x = 5,330,291,265.71
  5. Step 5: Solve for x
    x = 5,330,291,265.71/48,672.56
  6. Step 6: Final answer
    x = 109,513.27

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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.