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Finding the Third Proportional to 44,616.75 and 65,691.75

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Solution

The third proportional to 44,616.75 and 65,691.75 is: 96,721.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,616.75 : 65,691.75 = 65,691.75 : x
  2. Step 2: Convert to fraction form
    44,616.75/65,691.75 = 65,691.75/x
  3. Step 3: Cross multiply
    44,616.75x = 65,691.75 × 65,691.75
  4. Step 4: Simplify right side
    44,616.75x = 4,315,406,018.06
  5. Step 5: Solve for x
    x = 4,315,406,018.06/44,616.75
  6. Step 6: Final answer
    x = 96,721.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.