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Finding the Third Proportional to 2,463.47 and 5,273.16

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Solution

The third proportional to 2,463.47 and 5,273.16 is: 11,287.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.47 : 5,273.16 = 5,273.16 : x
  2. Step 2: Convert to fraction form
    2,463.47/5,273.16 = 5,273.16/x
  3. Step 3: Cross multiply
    2,463.47x = 5,273.16 × 5,273.16
  4. Step 4: Simplify right side
    2,463.47x = 27,806,176.84
  5. Step 5: Solve for x
    x = 27,806,176.84/2,463.47
  6. Step 6: Final answer
    x = 11,287.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.