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Finding the Third Proportional to 45,881 and 60,465

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Solution

The third proportional to 45,881 and 60,465 is: 79,684.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,881 : 60,465 = 60,465 : x
  2. Step 2: Convert to fraction form
    45,881/60,465 = 60,465/x
  3. Step 3: Cross multiply
    45,881x = 60,465 × 60,465
  4. Step 4: Simplify right side
    45,881x = 3,656,016,225
  5. Step 5: Solve for x
    x = 3,656,016,225/45,881
  6. Step 6: Final answer
    x = 79,684.75

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.