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Finding the Third Proportional to 39,072 and 60,465

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Solution

The third proportional to 39,072 and 60,465 is: 93,571.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,072 : 60,465 = 60,465 : x
  2. Step 2: Convert to fraction form
    39,072/60,465 = 60,465/x
  3. Step 3: Cross multiply
    39,072x = 60,465 × 60,465
  4. Step 4: Simplify right side
    39,072x = 3,656,016,225
  5. Step 5: Solve for x
    x = 3,656,016,225/39,072
  6. Step 6: Final answer
    x = 93,571.26

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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.