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Finding the Third Proportional to 8,434 and 18,032

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Solution

The third proportional to 8,434 and 18,032 is: 38,552.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434 : 18,032 = 18,032 : x
  2. Step 2: Convert to fraction form
    8,434/18,032 = 18,032/x
  3. Step 3: Cross multiply
    8,434x = 18,032 × 18,032
  4. Step 4: Simplify right side
    8,434x = 325,153,024
  5. Step 5: Solve for x
    x = 325,153,024/8,434
  6. Step 6: Final answer
    x = 38,552.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.