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Finding the Third Proportional to 5,045.41 and 7,874.72

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Solution

The third proportional to 5,045.41 and 7,874.72 is: 12,290.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,045.41 : 7,874.72 = 7,874.72 : x
  2. Step 2: Convert to fraction form
    5,045.41/7,874.72 = 7,874.72/x
  3. Step 3: Cross multiply
    5,045.41x = 7,874.72 × 7,874.72
  4. Step 4: Simplify right side
    5,045.41x = 62,011,195.39
  5. Step 5: Solve for x
    x = 62,011,195.39/5,045.41
  6. Step 6: Final answer
    x = 12,290.61

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.