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Finding the Third Proportional to 15,666.75 and 24,198.75

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Solution

The third proportional to 15,666.75 and 24,198.75 is: 37,377.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,666.75 : 24,198.75 = 24,198.75 : x
  2. Step 2: Convert to fraction form
    15,666.75/24,198.75 = 24,198.75/x
  3. Step 3: Cross multiply
    15,666.75x = 24,198.75 × 24,198.75
  4. Step 4: Simplify right side
    15,666.75x = 585,579,501.56
  5. Step 5: Solve for x
    x = 585,579,501.56/15,666.75
  6. Step 6: Final answer
    x = 37,377.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.