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Finding the Third Proportional to 23,919 and 52,209.75

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Solution

The third proportional to 23,919 and 52,209.75 is: 113,962.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,919 : 52,209.75 = 52,209.75 : x
  2. Step 2: Convert to fraction form
    23,919/52,209.75 = 52,209.75/x
  3. Step 3: Cross multiply
    23,919x = 52,209.75 × 52,209.75
  4. Step 4: Simplify right side
    23,919x = 2,725,857,995.06
  5. Step 5: Solve for x
    x = 2,725,857,995.06/23,919
  6. Step 6: Final answer
    x = 113,962.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.