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Finding the Third Proportional to 2,541.13 and 4,057.38

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Solution

The third proportional to 2,541.13 and 4,057.38 is: 6,478.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.13 : 4,057.38 = 4,057.38 : x
  2. Step 2: Convert to fraction form
    2,541.13/4,057.38 = 4,057.38/x
  3. Step 3: Cross multiply
    2,541.13x = 4,057.38 × 4,057.38
  4. Step 4: Simplify right side
    2,541.13x = 16,462,291.89
  5. Step 5: Solve for x
    x = 16,462,291.89/2,541.13
  6. Step 6: Final answer
    x = 6,478.35

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.