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Finding the Third Proportional to 36,381.66 and 54,348.47

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Solution

The third proportional to 36,381.66 and 54,348.47 is: 81,188.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,381.66 : 54,348.47 = 54,348.47 : x
  2. Step 2: Convert to fraction form
    36,381.66/54,348.47 = 54,348.47/x
  3. Step 3: Cross multiply
    36,381.66x = 54,348.47 × 54,348.47
  4. Step 4: Simplify right side
    36,381.66x = 2,953,756,055.47
  5. Step 5: Solve for x
    x = 2,953,756,055.47/36,381.66
  6. Step 6: Final answer
    x = 81,188.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.