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Finding the Third Proportional to 19,658 and 42,452

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Solution

The third proportional to 19,658 and 42,452 is: 91,676.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,658 : 42,452 = 42,452 : x
  2. Step 2: Convert to fraction form
    19,658/42,452 = 42,452/x
  3. Step 3: Cross multiply
    19,658x = 42,452 × 42,452
  4. Step 4: Simplify right side
    19,658x = 1,802,172,304
  5. Step 5: Solve for x
    x = 1,802,172,304/19,658
  6. Step 6: Final answer
    x = 91,676.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.