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Finding the Third Proportional to 22,900 and 48,259

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Solution

The third proportional to 22,900 and 48,259 is: 101,700.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,900 : 48,259 = 48,259 : x
  2. Step 2: Convert to fraction form
    22,900/48,259 = 48,259/x
  3. Step 3: Cross multiply
    22,900x = 48,259 × 48,259
  4. Step 4: Simplify right side
    22,900x = 2,328,931,081
  5. Step 5: Solve for x
    x = 2,328,931,081/22,900
  6. Step 6: Final answer
    x = 101,700.05

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.