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Finding the Third Proportional to 6,870.68 and 14,945.92

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Solution

The third proportional to 6,870.68 and 14,945.92 is: 32,512.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.68 : 14,945.92 = 14,945.92 : x
  2. Step 2: Convert to fraction form
    6,870.68/14,945.92 = 14,945.92/x
  3. Step 3: Cross multiply
    6,870.68x = 14,945.92 × 14,945.92
  4. Step 4: Simplify right side
    6,870.68x = 223,380,639.08
  5. Step 5: Solve for x
    x = 223,380,639.08/6,870.68
  6. Step 6: Final answer
    x = 32,512.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.