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Finding the Third Proportional to 9,324 and 16,026

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Solution

The third proportional to 9,324 and 16,026 is: 27,545.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,324 : 16,026 = 16,026 : x
  2. Step 2: Convert to fraction form
    9,324/16,026 = 16,026/x
  3. Step 3: Cross multiply
    9,324x = 16,026 × 16,026
  4. Step 4: Simplify right side
    9,324x = 256,832,676
  5. Step 5: Solve for x
    x = 256,832,676/9,324
  6. Step 6: Final answer
    x = 27,545.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.