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Finding the Third Proportional to 21,684 and 44,312

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Solution

The third proportional to 21,684 and 44,312 is: 90,553.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,684 : 44,312 = 44,312 : x
  2. Step 2: Convert to fraction form
    21,684/44,312 = 44,312/x
  3. Step 3: Cross multiply
    21,684x = 44,312 × 44,312
  4. Step 4: Simplify right side
    21,684x = 1,963,553,344
  5. Step 5: Solve for x
    x = 1,963,553,344/21,684
  6. Step 6: Final answer
    x = 90,553.10

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.