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Finding the Third Proportional to 21,498 and 34,201

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Solution

The third proportional to 21,498 and 34,201 is: 54,410.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,498 : 34,201 = 34,201 : x
  2. Step 2: Convert to fraction form
    21,498/34,201 = 34,201/x
  3. Step 3: Cross multiply
    21,498x = 34,201 × 34,201
  4. Step 4: Simplify right side
    21,498x = 1,169,708,401
  5. Step 5: Solve for x
    x = 1,169,708,401/21,498
  6. Step 6: Final answer
    x = 54,410.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.