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Finding the Third Proportional to 45,464 and 68,613

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Solution

The third proportional to 45,464 and 68,613 is: 103,548.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,464 : 68,613 = 68,613 : x
  2. Step 2: Convert to fraction form
    45,464/68,613 = 68,613/x
  3. Step 3: Cross multiply
    45,464x = 68,613 × 68,613
  4. Step 4: Simplify right side
    45,464x = 4,707,743,769
  5. Step 5: Solve for x
    x = 4,707,743,769/45,464
  6. Step 6: Final answer
    x = 103,548.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.