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Finding the Third Proportional to 2,541.38 and 3,927.66

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Solution

The third proportional to 2,541.38 and 3,927.66 is: 6,070.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.38 : 3,927.66 = 3,927.66 : x
  2. Step 2: Convert to fraction form
    2,541.38/3,927.66 = 3,927.66/x
  3. Step 3: Cross multiply
    2,541.38x = 3,927.66 × 3,927.66
  4. Step 4: Simplify right side
    2,541.38x = 15,426,483.62
  5. Step 5: Solve for x
    x = 15,426,483.62/2,541.38
  6. Step 6: Final answer
    x = 6,070.13

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Why These Related Problems?

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