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Finding the Third Proportional to 8,032 and 9,184

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Solution

The third proportional to 8,032 and 9,184 is: 10,501.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032 : 9,184 = 9,184 : x
  2. Step 2: Convert to fraction form
    8,032/9,184 = 9,184/x
  3. Step 3: Cross multiply
    8,032x = 9,184 × 9,184
  4. Step 4: Simplify right side
    8,032x = 84,345,856
  5. Step 5: Solve for x
    x = 84,345,856/8,032
  6. Step 6: Final answer
    x = 10,501.23

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.