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Finding the Third Proportional to 5,667.75 and 13,335.75

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Solution

The third proportional to 5,667.75 and 13,335.75 is: 31,377.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667.75 : 13,335.75 = 13,335.75 : x
  2. Step 2: Convert to fraction form
    5,667.75/13,335.75 = 13,335.75/x
  3. Step 3: Cross multiply
    5,667.75x = 13,335.75 × 13,335.75
  4. Step 4: Simplify right side
    5,667.75x = 177,842,228.06
  5. Step 5: Solve for x
    x = 177,842,228.06/5,667.75
  6. Step 6: Final answer
    x = 31,377.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.