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Finding the Third Proportional to 24,021 and 38,595.75

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Solution

The third proportional to 24,021 and 38,595.75 is: 62,013.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,021 : 38,595.75 = 38,595.75 : x
  2. Step 2: Convert to fraction form
    24,021/38,595.75 = 38,595.75/x
  3. Step 3: Cross multiply
    24,021x = 38,595.75 × 38,595.75
  4. Step 4: Simplify right side
    24,021x = 1,489,631,918.06
  5. Step 5: Solve for x
    x = 1,489,631,918.06/24,021
  6. Step 6: Final answer
    x = 62,013.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.