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Finding the Third Proportional to 9,750 and 22,884

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Solution

The third proportional to 9,750 and 22,884 is: 53,710.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750 : 22,884 = 22,884 : x
  2. Step 2: Convert to fraction form
    9,750/22,884 = 22,884/x
  3. Step 3: Cross multiply
    9,750x = 22,884 × 22,884
  4. Step 4: Simplify right side
    9,750x = 523,677,456
  5. Step 5: Solve for x
    x = 523,677,456/9,750
  6. Step 6: Final answer
    x = 53,710.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.