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Finding the Third Proportional to 6,138 and 10,953

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Solution

The third proportional to 6,138 and 10,953 is: 19,545.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138 : 10,953 = 10,953 : x
  2. Step 2: Convert to fraction form
    6,138/10,953 = 10,953/x
  3. Step 3: Cross multiply
    6,138x = 10,953 × 10,953
  4. Step 4: Simplify right side
    6,138x = 119,968,209
  5. Step 5: Solve for x
    x = 119,968,209/6,138
  6. Step 6: Final answer
    x = 19,545.16

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.