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Finding the Third Proportional to 22,243 and 48,358

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Solution

The third proportional to 22,243 and 48,358 is: 105,134.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,243 : 48,358 = 48,358 : x
  2. Step 2: Convert to fraction form
    22,243/48,358 = 48,358/x
  3. Step 3: Cross multiply
    22,243x = 48,358 × 48,358
  4. Step 4: Simplify right side
    22,243x = 2,338,496,164
  5. Step 5: Solve for x
    x = 2,338,496,164/22,243
  6. Step 6: Final answer
    x = 105,134.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.