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Finding the Third Proportional to 40,880 and 56,290

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Solution

The third proportional to 40,880 and 56,290 is: 77,508.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,880 : 56,290 = 56,290 : x
  2. Step 2: Convert to fraction form
    40,880/56,290 = 56,290/x
  3. Step 3: Cross multiply
    40,880x = 56,290 × 56,290
  4. Step 4: Simplify right side
    40,880x = 3,168,564,100
  5. Step 5: Solve for x
    x = 3,168,564,100/40,880
  6. Step 6: Final answer
    x = 77,508.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.