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Finding the Third Proportional to 1,335.91 and 2,960.14

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Solution

The third proportional to 1,335.91 and 2,960.14 is: 6,559.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.91 : 2,960.14 = 2,960.14 : x
  2. Step 2: Convert to fraction form
    1,335.91/2,960.14 = 2,960.14/x
  3. Step 3: Cross multiply
    1,335.91x = 2,960.14 × 2,960.14
  4. Step 4: Simplify right side
    1,335.91x = 8,762,420.96
  5. Step 5: Solve for x
    x = 8,762,420.96/1,335.91
  6. Step 6: Final answer
    x = 6,559.16

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.