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Finding the Third Proportional to 10,595.42 and 23,074.56

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Solution

The third proportional to 10,595.42 and 23,074.56 is: 50,251.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,595.42 : 23,074.56 = 23,074.56 : x
  2. Step 2: Convert to fraction form
    10,595.42/23,074.56 = 23,074.56/x
  3. Step 3: Cross multiply
    10,595.42x = 23,074.56 × 23,074.56
  4. Step 4: Simplify right side
    10,595.42x = 532,435,254.30
  5. Step 5: Solve for x
    x = 532,435,254.30/10,595.42
  6. Step 6: Final answer
    x = 50,251.47

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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.