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Finding the Third Proportional to 5,870.38 and 9,103.88

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Solution

The third proportional to 5,870.38 and 9,103.88 is: 14,118.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,870.38 : 9,103.88 = 9,103.88 : x
  2. Step 2: Convert to fraction form
    5,870.38/9,103.88 = 9,103.88/x
  3. Step 3: Cross multiply
    5,870.38x = 9,103.88 × 9,103.88
  4. Step 4: Simplify right side
    5,870.38x = 82,880,540.02
  5. Step 5: Solve for x
    x = 82,880,540.02/5,870.38
  6. Step 6: Final answer
    x = 14,118.44

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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.