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Finding the Third Proportional to 22,957 and 48,670

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Solution

The third proportional to 22,957 and 48,670 is: 103,182.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,957 : 48,670 = 48,670 : x
  2. Step 2: Convert to fraction form
    22,957/48,670 = 48,670/x
  3. Step 3: Cross multiply
    22,957x = 48,670 × 48,670
  4. Step 4: Simplify right side
    22,957x = 2,368,768,900
  5. Step 5: Solve for x
    x = 2,368,768,900/22,957
  6. Step 6: Final answer
    x = 103,182.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.