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Finding the Third Proportional to 42,786 and 63,827

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Solution

The third proportional to 42,786 and 63,827 is: 95,215.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,786 : 63,827 = 63,827 : x
  2. Step 2: Convert to fraction form
    42,786/63,827 = 63,827/x
  3. Step 3: Cross multiply
    42,786x = 63,827 × 63,827
  4. Step 4: Simplify right side
    42,786x = 4,073,885,929
  5. Step 5: Solve for x
    x = 4,073,885,929/42,786
  6. Step 6: Final answer
    x = 95,215.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.