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Finding the Third Proportional to 36,109.13 and 56,737.13

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Solution

The third proportional to 36,109.13 and 56,737.13 is: 89,149.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,109.13 : 56,737.13 = 56,737.13 : x
  2. Step 2: Convert to fraction form
    36,109.13/56,737.13 = 56,737.13/x
  3. Step 3: Cross multiply
    36,109.13x = 56,737.13 × 56,737.13
  4. Step 4: Simplify right side
    36,109.13x = 3,219,101,353.27
  5. Step 5: Solve for x
    x = 3,219,101,353.27/36,109.13
  6. Step 6: Final answer
    x = 89,149.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.