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Finding the Third Proportional to 40,786 and 63,034

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Solution

The third proportional to 40,786 and 63,034 is: 97,417.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,786 : 63,034 = 63,034 : x
  2. Step 2: Convert to fraction form
    40,786/63,034 = 63,034/x
  3. Step 3: Cross multiply
    40,786x = 63,034 × 63,034
  4. Step 4: Simplify right side
    40,786x = 3,973,285,156
  5. Step 5: Solve for x
    x = 3,973,285,156/40,786
  6. Step 6: Final answer
    x = 97,417.87

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.