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Finding the Third Proportional to 23,023 and 35,552

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Solution

The third proportional to 23,023 and 35,552 is: 54,899.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,023 : 35,552 = 35,552 : x
  2. Step 2: Convert to fraction form
    23,023/35,552 = 35,552/x
  3. Step 3: Cross multiply
    23,023x = 35,552 × 35,552
  4. Step 4: Simplify right side
    23,023x = 1,263,944,704
  5. Step 5: Solve for x
    x = 1,263,944,704/23,023
  6. Step 6: Final answer
    x = 54,899.22

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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.