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Finding the Third Proportional to 40,768 and 63,008

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Solution

The third proportional to 40,768 and 63,008 is: 97,380.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,768 : 63,008 = 63,008 : x
  2. Step 2: Convert to fraction form
    40,768/63,008 = 63,008/x
  3. Step 3: Cross multiply
    40,768x = 63,008 × 63,008
  4. Step 4: Simplify right side
    40,768x = 3,970,008,064
  5. Step 5: Solve for x
    x = 3,970,008,064/40,768
  6. Step 6: Final answer
    x = 97,380.50

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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.