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Finding the Third Proportional to 2,305.65 and 5,001.43

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Solution

The third proportional to 2,305.65 and 5,001.43 is: 10,849.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.65 : 5,001.43 = 5,001.43 : x
  2. Step 2: Convert to fraction form
    2,305.65/5,001.43 = 5,001.43/x
  3. Step 3: Cross multiply
    2,305.65x = 5,001.43 × 5,001.43
  4. Step 4: Simplify right side
    2,305.65x = 25,014,337.99
  5. Step 5: Solve for x
    x = 25,014,337.99/2,305.65
  6. Step 6: Final answer
    x = 10,849.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.