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Finding the Third Proportional to 2,260.41 and 3,264.47

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Solution

The third proportional to 2,260.41 and 3,264.47 is: 4,714.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.41 : 3,264.47 = 3,264.47 : x
  2. Step 2: Convert to fraction form
    2,260.41/3,264.47 = 3,264.47/x
  3. Step 3: Cross multiply
    2,260.41x = 3,264.47 × 3,264.47
  4. Step 4: Simplify right side
    2,260.41x = 10,656,756.22
  5. Step 5: Solve for x
    x = 10,656,756.22/2,260.41
  6. Step 6: Final answer
    x = 4,714.53

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.