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Finding the Third Proportional to 20,076 and 22,020

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Solution

The third proportional to 20,076 and 22,020 is: 24,152.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,076 : 22,020 = 22,020 : x
  2. Step 2: Convert to fraction form
    20,076/22,020 = 22,020/x
  3. Step 3: Cross multiply
    20,076x = 22,020 × 22,020
  4. Step 4: Simplify right side
    20,076x = 484,880,400
  5. Step 5: Solve for x
    x = 484,880,400/20,076
  6. Step 6: Final answer
    x = 24,152.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.