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Finding the Third Proportional to 10,720 and 22,856

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Solution

The third proportional to 10,720 and 22,856 is: 48,731.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,720 : 22,856 = 22,856 : x
  2. Step 2: Convert to fraction form
    10,720/22,856 = 22,856/x
  3. Step 3: Cross multiply
    10,720x = 22,856 × 22,856
  4. Step 4: Simplify right side
    10,720x = 522,396,736
  5. Step 5: Solve for x
    x = 522,396,736/10,720
  6. Step 6: Final answer
    x = 48,731.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.