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Finding the Third Proportional to 23,514 and 45,849.75

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Solution

The third proportional to 23,514 and 45,849.75 is: 89,402.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,514 : 45,849.75 = 45,849.75 : x
  2. Step 2: Convert to fraction form
    23,514/45,849.75 = 45,849.75/x
  3. Step 3: Cross multiply
    23,514x = 45,849.75 × 45,849.75
  4. Step 4: Simplify right side
    23,514x = 2,102,199,575.06
  5. Step 5: Solve for x
    x = 2,102,199,575.06/23,514
  6. Step 6: Final answer
    x = 89,402.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.