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Finding the Third Proportional to 6,123 and 12,778.13

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Solution

The third proportional to 6,123 and 12,778.13 is: 26,666.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123 : 12,778.13 = 12,778.13 : x
  2. Step 2: Convert to fraction form
    6,123/12,778.13 = 12,778.13/x
  3. Step 3: Cross multiply
    6,123x = 12,778.13 × 12,778.13
  4. Step 4: Simplify right side
    6,123x = 163,280,478.52
  5. Step 5: Solve for x
    x = 163,280,478.52/6,123
  6. Step 6: Final answer
    x = 26,666.74

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.