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Finding the Third Proportional to 39,577.13 and 85,468.88

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Solution

The third proportional to 39,577.13 and 85,468.88 is: 184,574.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,577.13 : 85,468.88 = 85,468.88 : x
  2. Step 2: Convert to fraction form
    39,577.13/85,468.88 = 85,468.88/x
  3. Step 3: Cross multiply
    39,577.13x = 85,468.88 × 85,468.88
  4. Step 4: Simplify right side
    39,577.13x = 7,304,928,593.77
  5. Step 5: Solve for x
    x = 7,304,928,593.77/39,577.13
  6. Step 6: Final answer
    x = 184,574.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.