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Finding the Third Proportional to 21,984 and 35,466

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Solution

The third proportional to 21,984 and 35,466 is: 57,216.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,984 : 35,466 = 35,466 : x
  2. Step 2: Convert to fraction form
    21,984/35,466 = 35,466/x
  3. Step 3: Cross multiply
    21,984x = 35,466 × 35,466
  4. Step 4: Simplify right side
    21,984x = 1,257,837,156
  5. Step 5: Solve for x
    x = 1,257,837,156/21,984
  6. Step 6: Final answer
    x = 57,216.03

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.