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Finding the Third Proportional to 20,020 and 24,160

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Solution

The third proportional to 20,020 and 24,160 is: 29,156.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,020 : 24,160 = 24,160 : x
  2. Step 2: Convert to fraction form
    20,020/24,160 = 24,160/x
  3. Step 3: Cross multiply
    20,020x = 24,160 × 24,160
  4. Step 4: Simplify right side
    20,020x = 583,705,600
  5. Step 5: Solve for x
    x = 583,705,600/20,020
  6. Step 6: Final answer
    x = 29,156.12

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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.