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Finding the Third Proportional to 16,202 and 35,452

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Solution

The third proportional to 16,202 and 35,452 is: 77,573.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,202 : 35,452 = 35,452 : x
  2. Step 2: Convert to fraction form
    16,202/35,452 = 35,452/x
  3. Step 3: Cross multiply
    16,202x = 35,452 × 35,452
  4. Step 4: Simplify right side
    16,202x = 1,256,844,304
  5. Step 5: Solve for x
    x = 1,256,844,304/16,202
  6. Step 6: Final answer
    x = 77,573.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.