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Finding the Third Proportional to 40,514 and 61,312

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Solution

The third proportional to 40,514 and 61,312 is: 92,786.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,514 : 61,312 = 61,312 : x
  2. Step 2: Convert to fraction form
    40,514/61,312 = 61,312/x
  3. Step 3: Cross multiply
    40,514x = 61,312 × 61,312
  4. Step 4: Simplify right side
    40,514x = 3,759,161,344
  5. Step 5: Solve for x
    x = 3,759,161,344/40,514
  6. Step 6: Final answer
    x = 92,786.72

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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.