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Finding the Third Proportional to 7,023 and 13,074

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Solution

The third proportional to 7,023 and 13,074 is: 24,338.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023 : 13,074 = 13,074 : x
  2. Step 2: Convert to fraction form
    7,023/13,074 = 13,074/x
  3. Step 3: Cross multiply
    7,023x = 13,074 × 13,074
  4. Step 4: Simplify right side
    7,023x = 170,929,476
  5. Step 5: Solve for x
    x = 170,929,476/7,023
  6. Step 6: Final answer
    x = 24,338.53

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.