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Finding the Third Proportional to 22,124 and 46,870

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Solution

The third proportional to 22,124 and 46,870 is: 99,294.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,124 : 46,870 = 46,870 : x
  2. Step 2: Convert to fraction form
    22,124/46,870 = 46,870/x
  3. Step 3: Cross multiply
    22,124x = 46,870 × 46,870
  4. Step 4: Simplify right side
    22,124x = 2,196,796,900
  5. Step 5: Solve for x
    x = 2,196,796,900/22,124
  6. Step 6: Final answer
    x = 99,294.74

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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.