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Finding the Third Proportional to 1,353.11 and 2,972.00

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Solution

The third proportional to 1,353.11 and 2,972.00 is: 6,527.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.11 : 2,972.00 = 2,972.00 : x
  2. Step 2: Convert to fraction form
    1,353.11/2,972.00 = 2,972.00/x
  3. Step 3: Cross multiply
    1,353.11x = 2,972.00 × 2,972.00
  4. Step 4: Simplify right side
    1,353.11x = 8,832,807.22
  5. Step 5: Solve for x
    x = 8,832,807.22/1,353.11
  6. Step 6: Final answer
    x = 6,527.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.