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Finding the Third Proportional to 39,066 and 60,582

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Solution

The third proportional to 39,066 and 60,582 is: 93,948.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,066 : 60,582 = 60,582 : x
  2. Step 2: Convert to fraction form
    39,066/60,582 = 60,582/x
  3. Step 3: Cross multiply
    39,066x = 60,582 × 60,582
  4. Step 4: Simplify right side
    39,066x = 3,670,178,724
  5. Step 5: Solve for x
    x = 3,670,178,724/39,066
  6. Step 6: Final answer
    x = 93,948.16

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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.