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Finding the Third Proportional to 43,287 and 67,663.50

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Solution

The third proportional to 43,287 and 67,663.50 is: 105,767.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,287 : 67,663.50 = 67,663.50 : x
  2. Step 2: Convert to fraction form
    43,287/67,663.50 = 67,663.50/x
  3. Step 3: Cross multiply
    43,287x = 67,663.50 × 67,663.50
  4. Step 4: Simplify right side
    43,287x = 4,578,349,232.25
  5. Step 5: Solve for x
    x = 4,578,349,232.25/43,287
  6. Step 6: Final answer
    x = 105,767.30

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.