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Finding the Third Proportional to 6,517 and 12,709

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Solution

The third proportional to 6,517 and 12,709 is: 24,784.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517 : 12,709 = 12,709 : x
  2. Step 2: Convert to fraction form
    6,517/12,709 = 12,709/x
  3. Step 3: Cross multiply
    6,517x = 12,709 × 12,709
  4. Step 4: Simplify right side
    6,517x = 161,518,681
  5. Step 5: Solve for x
    x = 161,518,681/6,517
  6. Step 6: Final answer
    x = 24,784.21

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.