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Finding the Third Proportional to 1,358.44 and 2,932.88

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Solution

The third proportional to 1,358.44 and 2,932.88 is: 6,332.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.44 : 2,932.88 = 2,932.88 : x
  2. Step 2: Convert to fraction form
    1,358.44/2,932.88 = 2,932.88/x
  3. Step 3: Cross multiply
    1,358.44x = 2,932.88 × 2,932.88
  4. Step 4: Simplify right side
    1,358.44x = 8,601,755.77
  5. Step 5: Solve for x
    x = 8,601,755.77/1,358.44
  6. Step 6: Final answer
    x = 6,332.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.