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Finding the Third Proportional to 21,498 and 47,356

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Solution

The third proportional to 21,498 and 47,356 is: 104,316.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,498 : 47,356 = 47,356 : x
  2. Step 2: Convert to fraction form
    21,498/47,356 = 47,356/x
  3. Step 3: Cross multiply
    21,498x = 47,356 × 47,356
  4. Step 4: Simplify right side
    21,498x = 2,242,590,736
  5. Step 5: Solve for x
    x = 2,242,590,736/21,498
  6. Step 6: Final answer
    x = 104,316.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.