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Finding the Third Proportional to 21,519 and 32,603

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Solution

The third proportional to 21,519 and 32,603 is: 49,396.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,519 : 32,603 = 32,603 : x
  2. Step 2: Convert to fraction form
    21,519/32,603 = 32,603/x
  3. Step 3: Cross multiply
    21,519x = 32,603 × 32,603
  4. Step 4: Simplify right side
    21,519x = 1,062,955,609
  5. Step 5: Solve for x
    x = 1,062,955,609/21,519
  6. Step 6: Final answer
    x = 49,396.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.