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Finding the Third Proportional to 2,947.32 and 6,253.45

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Solution

The third proportional to 2,947.32 and 6,253.45 is: 13,268.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.32 : 6,253.45 = 6,253.45 : x
  2. Step 2: Convert to fraction form
    2,947.32/6,253.45 = 6,253.45/x
  3. Step 3: Cross multiply
    2,947.32x = 6,253.45 × 6,253.45
  4. Step 4: Simplify right side
    2,947.32x = 39,105,675.99
  5. Step 5: Solve for x
    x = 39,105,675.99/2,947.32
  6. Step 6: Final answer
    x = 13,268.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.