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Finding the Third Proportional to 6,260.34 and 9,749.53

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Solution

The third proportional to 6,260.34 and 9,749.53 is: 15,183.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,260.34 : 9,749.53 = 9,749.53 : x
  2. Step 2: Convert to fraction form
    6,260.34/9,749.53 = 9,749.53/x
  3. Step 3: Cross multiply
    6,260.34x = 9,749.53 × 9,749.53
  4. Step 4: Simplify right side
    6,260.34x = 95,053,359.59
  5. Step 5: Solve for x
    x = 95,053,359.59/6,260.34
  6. Step 6: Final answer
    x = 15,183.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.