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Finding the Third Proportional to 36,454.13 and 52,129.50

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Solution

The third proportional to 36,454.13 and 52,129.50 is: 74,545.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,454.13 : 52,129.50 = 52,129.50 : x
  2. Step 2: Convert to fraction form
    36,454.13/52,129.50 = 52,129.50/x
  3. Step 3: Cross multiply
    36,454.13x = 52,129.50 × 52,129.50
  4. Step 4: Simplify right side
    36,454.13x = 2,717,484,770.25
  5. Step 5: Solve for x
    x = 2,717,484,770.25/36,454.13
  6. Step 6: Final answer
    x = 74,545.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.