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Finding the Third Proportional to 2,042.63 and 2,227.13

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Solution

The third proportional to 2,042.63 and 2,227.13 is: 2,428.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.63 : 2,227.13 = 2,227.13 : x
  2. Step 2: Convert to fraction form
    2,042.63/2,227.13 = 2,227.13/x
  3. Step 3: Cross multiply
    2,042.63x = 2,227.13 × 2,227.13
  4. Step 4: Simplify right side
    2,042.63x = 4,960,085.77
  5. Step 5: Solve for x
    x = 4,960,085.77/2,042.63
  6. Step 6: Final answer
    x = 2,428.29

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.