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Finding the Third Proportional to 8,199 and 19,248.75

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Solution

The third proportional to 8,199 and 19,248.75 is: 45,190.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199 : 19,248.75 = 19,248.75 : x
  2. Step 2: Convert to fraction form
    8,199/19,248.75 = 19,248.75/x
  3. Step 3: Cross multiply
    8,199x = 19,248.75 × 19,248.75
  4. Step 4: Simplify right side
    8,199x = 370,514,376.56
  5. Step 5: Solve for x
    x = 370,514,376.56/8,199
  6. Step 6: Final answer
    x = 45,190.19

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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.