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Finding the Third Proportional to 9,864 and 22,932

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Solution

The third proportional to 9,864 and 22,932 is: 53,312.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,864 : 22,932 = 22,932 : x
  2. Step 2: Convert to fraction form
    9,864/22,932 = 22,932/x
  3. Step 3: Cross multiply
    9,864x = 22,932 × 22,932
  4. Step 4: Simplify right side
    9,864x = 525,876,624
  5. Step 5: Solve for x
    x = 525,876,624/9,864
  6. Step 6: Final answer
    x = 53,312.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.