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Finding the Third Proportional to 22,159 and 48,206

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Solution

The third proportional to 22,159 and 48,206 is: 104,870.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,159 : 48,206 = 48,206 : x
  2. Step 2: Convert to fraction form
    22,159/48,206 = 48,206/x
  3. Step 3: Cross multiply
    22,159x = 48,206 × 48,206
  4. Step 4: Simplify right side
    22,159x = 2,323,818,436
  5. Step 5: Solve for x
    x = 2,323,818,436/22,159
  6. Step 6: Final answer
    x = 104,870.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.