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Finding the Third Proportional to 38,658.38 and 56,603.25

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Solution

The third proportional to 38,658.38 and 56,603.25 is: 82,877.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,658.38 : 56,603.25 = 56,603.25 : x
  2. Step 2: Convert to fraction form
    38,658.38/56,603.25 = 56,603.25/x
  3. Step 3: Cross multiply
    38,658.38x = 56,603.25 × 56,603.25
  4. Step 4: Simplify right side
    38,658.38x = 3,203,927,910.56
  5. Step 5: Solve for x
    x = 3,203,927,910.56/38,658.38
  6. Step 6: Final answer
    x = 82,877.98

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.