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Finding the Third Proportional to 5,815.13 and 12,045.38

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Solution

The third proportional to 5,815.13 and 12,045.38 is: 24,950.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,815.13 : 12,045.38 = 12,045.38 : x
  2. Step 2: Convert to fraction form
    5,815.13/12,045.38 = 12,045.38/x
  3. Step 3: Cross multiply
    5,815.13x = 12,045.38 × 12,045.38
  4. Step 4: Simplify right side
    5,815.13x = 145,091,058.89
  5. Step 5: Solve for x
    x = 145,091,058.89/5,815.13
  6. Step 6: Final answer
    x = 24,950.63

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.