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Finding the Third Proportional to 40,855 and 56,260

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Solution

The third proportional to 40,855 and 56,260 is: 77,473.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,855 : 56,260 = 56,260 : x
  2. Step 2: Convert to fraction form
    40,855/56,260 = 56,260/x
  3. Step 3: Cross multiply
    40,855x = 56,260 × 56,260
  4. Step 4: Simplify right side
    40,855x = 3,165,187,600
  5. Step 5: Solve for x
    x = 3,165,187,600/40,855
  6. Step 6: Final answer
    x = 77,473.69

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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.