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Finding the Third Proportional to 41,875 and 56,863

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Solution

The third proportional to 41,875 and 56,863 is: 77,215.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,875 : 56,863 = 56,863 : x
  2. Step 2: Convert to fraction form
    41,875/56,863 = 56,863/x
  3. Step 3: Cross multiply
    41,875x = 56,863 × 56,863
  4. Step 4: Simplify right side
    41,875x = 3,233,400,769
  5. Step 5: Solve for x
    x = 3,233,400,769/41,875
  6. Step 6: Final answer
    x = 77,215.54

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.