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Finding the Third Proportional to 36,178.88 and 55,909.13

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Solution

The third proportional to 36,178.88 and 55,909.13 is: 86,399.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,178.88 : 55,909.13 = 55,909.13 : x
  2. Step 2: Convert to fraction form
    36,178.88/55,909.13 = 55,909.13/x
  3. Step 3: Cross multiply
    36,178.88x = 55,909.13 × 55,909.13
  4. Step 4: Simplify right side
    36,178.88x = 3,125,830,258.27
  5. Step 5: Solve for x
    x = 3,125,830,258.27/36,178.88
  6. Step 6: Final answer
    x = 86,399.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.