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Finding the Third Proportional to 40,708 and 59,968

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Solution

The third proportional to 40,708 and 59,968 is: 88,340.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,708 : 59,968 = 59,968 : x
  2. Step 2: Convert to fraction form
    40,708/59,968 = 59,968/x
  3. Step 3: Cross multiply
    40,708x = 59,968 × 59,968
  4. Step 4: Simplify right side
    40,708x = 3,596,161,024
  5. Step 5: Solve for x
    x = 3,596,161,024/40,708
  6. Step 6: Final answer
    x = 88,340.40

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.