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Finding the Third Proportional to 40,058.25 and 62,837.25

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Solution

The third proportional to 40,058.25 and 62,837.25 is: 98,569.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,058.25 : 62,837.25 = 62,837.25 : x
  2. Step 2: Convert to fraction form
    40,058.25/62,837.25 = 62,837.25/x
  3. Step 3: Cross multiply
    40,058.25x = 62,837.25 × 62,837.25
  4. Step 4: Simplify right side
    40,058.25x = 3,948,519,987.56
  5. Step 5: Solve for x
    x = 3,948,519,987.56/40,058.25
  6. Step 6: Final answer
    x = 98,569.46

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.