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Finding the Third Proportional to 6,376.50 and 10,482.75

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Solution

The third proportional to 6,376.50 and 10,482.75 is: 17,233.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,376.50 : 10,482.75 = 10,482.75 : x
  2. Step 2: Convert to fraction form
    6,376.50/10,482.75 = 10,482.75/x
  3. Step 3: Cross multiply
    6,376.50x = 10,482.75 × 10,482.75
  4. Step 4: Simplify right side
    6,376.50x = 109,888,047.56
  5. Step 5: Solve for x
    x = 109,888,047.56/6,376.50
  6. Step 6: Final answer
    x = 17,233.29

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.