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Finding the Third Proportional to 20,979 and 22,740.75

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Solution

The third proportional to 20,979 and 22,740.75 is: 24,650.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,979 : 22,740.75 = 22,740.75 : x
  2. Step 2: Convert to fraction form
    20,979/22,740.75 = 22,740.75/x
  3. Step 3: Cross multiply
    20,979x = 22,740.75 × 22,740.75
  4. Step 4: Simplify right side
    20,979x = 517,141,710.56
  5. Step 5: Solve for x
    x = 517,141,710.56/20,979
  6. Step 6: Final answer
    x = 24,650.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.