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Finding the Third Proportional to 4,123.41 and 6,390.14

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Solution

The third proportional to 4,123.41 and 6,390.14 is: 9,902.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,123.41 : 6,390.14 = 6,390.14 : x
  2. Step 2: Convert to fraction form
    4,123.41/6,390.14 = 6,390.14/x
  3. Step 3: Cross multiply
    4,123.41x = 6,390.14 × 6,390.14
  4. Step 4: Simplify right side
    4,123.41x = 40,833,897.21
  5. Step 5: Solve for x
    x = 40,833,897.21/4,123.41
  6. Step 6: Final answer
    x = 9,902.95

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.