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Finding the Third Proportional to 40,862 and 65,058

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Solution

The third proportional to 40,862 and 65,058 is: 103,581.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,862 : 65,058 = 65,058 : x
  2. Step 2: Convert to fraction form
    40,862/65,058 = 65,058/x
  3. Step 3: Cross multiply
    40,862x = 65,058 × 65,058
  4. Step 4: Simplify right side
    40,862x = 4,232,543,364
  5. Step 5: Solve for x
    x = 4,232,543,364/40,862
  6. Step 6: Final answer
    x = 103,581.40

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.