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Finding the Third Proportional to 22,670 and 43,339

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Solution

The third proportional to 22,670 and 43,339 is: 82,852.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,670 : 43,339 = 43,339 : x
  2. Step 2: Convert to fraction form
    22,670/43,339 = 43,339/x
  3. Step 3: Cross multiply
    22,670x = 43,339 × 43,339
  4. Step 4: Simplify right side
    22,670x = 1,878,268,921
  5. Step 5: Solve for x
    x = 1,878,268,921/22,670
  6. Step 6: Final answer
    x = 82,852.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.