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Finding the Third Proportional to 20,212 and 24,424

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Solution

The third proportional to 20,212 and 24,424 is: 29,513.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,212 : 24,424 = 24,424 : x
  2. Step 2: Convert to fraction form
    20,212/24,424 = 24,424/x
  3. Step 3: Cross multiply
    20,212x = 24,424 × 24,424
  4. Step 4: Simplify right side
    20,212x = 596,531,776
  5. Step 5: Solve for x
    x = 596,531,776/20,212
  6. Step 6: Final answer
    x = 29,513.74

Related Problems

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.