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Finding the Third Proportional to 40,786 and 59,713

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Solution

The third proportional to 40,786 and 59,713 is: 87,423.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,786 : 59,713 = 59,713 : x
  2. Step 2: Convert to fraction form
    40,786/59,713 = 59,713/x
  3. Step 3: Cross multiply
    40,786x = 59,713 × 59,713
  4. Step 4: Simplify right side
    40,786x = 3,565,642,369
  5. Step 5: Solve for x
    x = 3,565,642,369/40,786
  6. Step 6: Final answer
    x = 87,423.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.