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Finding the Third Proportional to 40,931 and 61,145

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Solution

The third proportional to 40,931 and 61,145 is: 91,341.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,931 : 61,145 = 61,145 : x
  2. Step 2: Convert to fraction form
    40,931/61,145 = 61,145/x
  3. Step 3: Cross multiply
    40,931x = 61,145 × 61,145
  4. Step 4: Simplify right side
    40,931x = 3,738,711,025
  5. Step 5: Solve for x
    x = 3,738,711,025/40,931
  6. Step 6: Final answer
    x = 91,341.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.