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Finding the Third Proportional to 22,711 and 54,955

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Solution

The third proportional to 22,711 and 54,955 is: 132,977.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,711 : 54,955 = 54,955 : x
  2. Step 2: Convert to fraction form
    22,711/54,955 = 54,955/x
  3. Step 3: Cross multiply
    22,711x = 54,955 × 54,955
  4. Step 4: Simplify right side
    22,711x = 3,020,052,025
  5. Step 5: Solve for x
    x = 3,020,052,025/22,711
  6. Step 6: Final answer
    x = 132,977.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.