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Finding the Third Proportional to 35,370 and 75,801

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Solution

The third proportional to 35,370 and 75,801 is: 162,448.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,370 : 75,801 = 75,801 : x
  2. Step 2: Convert to fraction form
    35,370/75,801 = 75,801/x
  3. Step 3: Cross multiply
    35,370x = 75,801 × 75,801
  4. Step 4: Simplify right side
    35,370x = 5,745,791,601
  5. Step 5: Solve for x
    x = 5,745,791,601/35,370
  6. Step 6: Final answer
    x = 162,448.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.