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Finding the Third Proportional to 7,853 and 11,006

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Solution

The third proportional to 7,853 and 11,006 is: 15,424.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853 : 11,006 = 11,006 : x
  2. Step 2: Convert to fraction form
    7,853/11,006 = 11,006/x
  3. Step 3: Cross multiply
    7,853x = 11,006 × 11,006
  4. Step 4: Simplify right side
    7,853x = 121,132,036
  5. Step 5: Solve for x
    x = 121,132,036/7,853
  6. Step 6: Final answer
    x = 15,424.94

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.