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Finding the Third Proportional to 44,613 and 96,577

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Solution

The third proportional to 44,613 and 96,577 is: 209,067.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,613 : 96,577 = 96,577 : x
  2. Step 2: Convert to fraction form
    44,613/96,577 = 96,577/x
  3. Step 3: Cross multiply
    44,613x = 96,577 × 96,577
  4. Step 4: Simplify right side
    44,613x = 9,327,116,929
  5. Step 5: Solve for x
    x = 9,327,116,929/44,613
  6. Step 6: Final answer
    x = 209,067.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.