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Finding the Third Proportional to 10,108.13 and 11,971.13

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Solution

The third proportional to 10,108.13 and 11,971.13 is: 14,177.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,108.13 : 11,971.13 = 11,971.13 : x
  2. Step 2: Convert to fraction form
    10,108.13/11,971.13 = 11,971.13/x
  3. Step 3: Cross multiply
    10,108.13x = 11,971.13 × 11,971.13
  4. Step 4: Simplify right side
    10,108.13x = 143,307,833.77
  5. Step 5: Solve for x
    x = 143,307,833.77/10,108.13
  6. Step 6: Final answer
    x = 14,177.49

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.