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Finding the Third Proportional to 6,166.13 and 11,886.75

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Solution

The third proportional to 6,166.13 and 11,886.75 is: 22,914.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.13 : 11,886.75 = 11,886.75 : x
  2. Step 2: Convert to fraction form
    6,166.13/11,886.75 = 11,886.75/x
  3. Step 3: Cross multiply
    6,166.13x = 11,886.75 × 11,886.75
  4. Step 4: Simplify right side
    6,166.13x = 141,294,825.56
  5. Step 5: Solve for x
    x = 141,294,825.56/6,166.13
  6. Step 6: Final answer
    x = 22,914.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.