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Finding the Third Proportional to 2,666 and 6,228.13

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Solution

The third proportional to 2,666 and 6,228.13 is: 14,549.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666 : 6,228.13 = 6,228.13 : x
  2. Step 2: Convert to fraction form
    2,666/6,228.13 = 6,228.13/x
  3. Step 3: Cross multiply
    2,666x = 6,228.13 × 6,228.13
  4. Step 4: Simplify right side
    2,666x = 38,789,541.02
  5. Step 5: Solve for x
    x = 38,789,541.02/2,666
  6. Step 6: Final answer
    x = 14,549.72

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.