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Finding the Third Proportional to 6,709.08 and 12,913.17

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Solution

The third proportional to 6,709.08 and 12,913.17 is: 24,854.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.08 : 12,913.17 = 12,913.17 : x
  2. Step 2: Convert to fraction form
    6,709.08/12,913.17 = 12,913.17/x
  3. Step 3: Cross multiply
    6,709.08x = 12,913.17 × 12,913.17
  4. Step 4: Simplify right side
    6,709.08x = 166,750,007.87
  5. Step 5: Solve for x
    x = 166,750,007.87/6,709.08
  6. Step 6: Final answer
    x = 24,854.38

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.