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Finding the Third Proportional to 20,217 and 22,053

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Solution

The third proportional to 20,217 and 22,053 is: 24,055.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,217 : 22,053 = 22,053 : x
  2. Step 2: Convert to fraction form
    20,217/22,053 = 22,053/x
  3. Step 3: Cross multiply
    20,217x = 22,053 × 22,053
  4. Step 4: Simplify right side
    20,217x = 486,334,809
  5. Step 5: Solve for x
    x = 486,334,809/20,217
  6. Step 6: Final answer
    x = 24,055.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.