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Finding the Third Proportional to 21,706 and 44,870

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Solution

The third proportional to 21,706 and 44,870 is: 92,753.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,706 : 44,870 = 44,870 : x
  2. Step 2: Convert to fraction form
    21,706/44,870 = 44,870/x
  3. Step 3: Cross multiply
    21,706x = 44,870 × 44,870
  4. Step 4: Simplify right side
    21,706x = 2,013,316,900
  5. Step 5: Solve for x
    x = 2,013,316,900/21,706
  6. Step 6: Final answer
    x = 92,753.93

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.