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Finding the Third Proportional to 6,376.75 and 9,849.75

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Solution

The third proportional to 6,376.75 and 9,849.75 is: 15,214.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,376.75 : 9,849.75 = 9,849.75 : x
  2. Step 2: Convert to fraction form
    6,376.75/9,849.75 = 9,849.75/x
  3. Step 3: Cross multiply
    6,376.75x = 9,849.75 × 9,849.75
  4. Step 4: Simplify right side
    6,376.75x = 97,017,575.06
  5. Step 5: Solve for x
    x = 97,017,575.06/6,376.75
  6. Step 6: Final answer
    x = 15,214.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.