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Finding the Third Proportional to 7,677 and 13,707

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Solution

The third proportional to 7,677 and 13,707 is: 24,473.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677 : 13,707 = 13,707 : x
  2. Step 2: Convert to fraction form
    7,677/13,707 = 13,707/x
  3. Step 3: Cross multiply
    7,677x = 13,707 × 13,707
  4. Step 4: Simplify right side
    7,677x = 187,881,849
  5. Step 5: Solve for x
    x = 187,881,849/7,677
  6. Step 6: Final answer
    x = 24,473.34

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.