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Finding the Third Proportional to 6,864.75 and 16,303.78

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Solution

The third proportional to 6,864.75 and 16,303.78 is: 38,721.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.75 : 16,303.78 = 16,303.78 : x
  2. Step 2: Convert to fraction form
    6,864.75/16,303.78 = 16,303.78/x
  3. Step 3: Cross multiply
    6,864.75x = 16,303.78 × 16,303.78
  4. Step 4: Simplify right side
    6,864.75x = 265,813,283.05
  5. Step 5: Solve for x
    x = 265,813,283.05/6,864.75
  6. Step 6: Final answer
    x = 38,721.48

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.