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Finding the Third Proportional to 6,864.75 and 13,091.63

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Solution

The third proportional to 6,864.75 and 13,091.63 is: 24,966.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.75 : 13,091.63 = 13,091.63 : x
  2. Step 2: Convert to fraction form
    6,864.75/13,091.63 = 13,091.63/x
  3. Step 3: Cross multiply
    6,864.75x = 13,091.63 × 13,091.63
  4. Step 4: Simplify right side
    6,864.75x = 171,390,645.14
  5. Step 5: Solve for x
    x = 171,390,645.14/6,864.75
  6. Step 6: Final answer
    x = 24,966.77

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.