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Finding the Third Proportional to 40,464 and 85,950

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Solution

The third proportional to 40,464 and 85,950 is: 182,567.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,464 : 85,950 = 85,950 : x
  2. Step 2: Convert to fraction form
    40,464/85,950 = 85,950/x
  3. Step 3: Cross multiply
    40,464x = 85,950 × 85,950
  4. Step 4: Simplify right side
    40,464x = 7,387,402,500
  5. Step 5: Solve for x
    x = 7,387,402,500/40,464
  6. Step 6: Final answer
    x = 182,567.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.