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Finding the Third Proportional to 30,462.38 and 45,439.88

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Solution

The third proportional to 30,462.38 and 45,439.88 is: 67,781.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,462.38 : 45,439.88 = 45,439.88 : x
  2. Step 2: Convert to fraction form
    30,462.38/45,439.88 = 45,439.88/x
  3. Step 3: Cross multiply
    30,462.38x = 45,439.88 × 45,439.88
  4. Step 4: Simplify right side
    30,462.38x = 2,064,782,240.02
  5. Step 5: Solve for x
    x = 2,064,782,240.02/30,462.38
  6. Step 6: Final answer
    x = 67,781.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.