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Finding the Third Proportional to 7,260.47 and 15,887.81

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Solution

The third proportional to 7,260.47 and 15,887.81 is: 34,766.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,260.47 : 15,887.81 = 15,887.81 : x
  2. Step 2: Convert to fraction form
    7,260.47/15,887.81 = 15,887.81/x
  3. Step 3: Cross multiply
    7,260.47x = 15,887.81 × 15,887.81
  4. Step 4: Simplify right side
    7,260.47x = 252,422,586.04
  5. Step 5: Solve for x
    x = 252,422,586.04/7,260.47
  6. Step 6: Final answer
    x = 34,766.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.