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Finding the Third Proportional to 2,969.16 and 6,374.95

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Solution

The third proportional to 2,969.16 and 6,374.95 is: 13,687.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.16 : 6,374.95 = 6,374.95 : x
  2. Step 2: Convert to fraction form
    2,969.16/6,374.95 = 6,374.95/x
  3. Step 3: Cross multiply
    2,969.16x = 6,374.95 × 6,374.95
  4. Step 4: Simplify right side
    2,969.16x = 40,640,027.35
  5. Step 5: Solve for x
    x = 40,640,027.35/2,969.16
  6. Step 6: Final answer
    x = 13,687.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.