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Finding the Third Proportional to 38,459.81 and 58,202.30

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Solution

The third proportional to 38,459.81 and 58,202.30 is: 88,079.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,459.81 : 58,202.30 = 58,202.30 : x
  2. Step 2: Convert to fraction form
    38,459.81/58,202.30 = 58,202.30/x
  3. Step 3: Cross multiply
    38,459.81x = 58,202.30 × 58,202.30
  4. Step 4: Simplify right side
    38,459.81x = 3,387,507,361.53
  5. Step 5: Solve for x
    x = 3,387,507,361.53/38,459.81
  6. Step 6: Final answer
    x = 88,079.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.