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Finding the Third Proportional to 21,894 and 46,706

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Solution

The third proportional to 21,894 and 46,706 is: 99,636.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,894 : 46,706 = 46,706 : x
  2. Step 2: Convert to fraction form
    21,894/46,706 = 46,706/x
  3. Step 3: Cross multiply
    21,894x = 46,706 × 46,706
  4. Step 4: Simplify right side
    21,894x = 2,181,450,436
  5. Step 5: Solve for x
    x = 2,181,450,436/21,894
  6. Step 6: Final answer
    x = 99,636.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.