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Finding the Third Proportional to 45,013.50 and 60,405.75

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Solution

The third proportional to 45,013.50 and 60,405.75 is: 81,061.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,013.50 : 60,405.75 = 60,405.75 : x
  2. Step 2: Convert to fraction form
    45,013.50/60,405.75 = 60,405.75/x
  3. Step 3: Cross multiply
    45,013.50x = 60,405.75 × 60,405.75
  4. Step 4: Simplify right side
    45,013.50x = 3,648,854,633.06
  5. Step 5: Solve for x
    x = 3,648,854,633.06/45,013.50
  6. Step 6: Final answer
    x = 81,061.34

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.