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Finding the Third Proportional to 40,097.25 and 56,058.19

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Solution

The third proportional to 40,097.25 and 56,058.19 is: 78,372.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,097.25 : 56,058.19 = 56,058.19 : x
  2. Step 2: Convert to fraction form
    40,097.25/56,058.19 = 56,058.19/x
  3. Step 3: Cross multiply
    40,097.25x = 56,058.19 × 56,058.19
  4. Step 4: Simplify right side
    40,097.25x = 3,142,520,385.79
  5. Step 5: Solve for x
    x = 3,142,520,385.79/40,097.25
  6. Step 6: Final answer
    x = 78,372.47

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.