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Finding the Third Proportional to 35,512 and 75,403

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Solution

The third proportional to 35,512 and 75,403 is: 160,103.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,512 : 75,403 = 75,403 : x
  2. Step 2: Convert to fraction form
    35,512/75,403 = 75,403/x
  3. Step 3: Cross multiply
    35,512x = 75,403 × 75,403
  4. Step 4: Simplify right side
    35,512x = 5,685,612,409
  5. Step 5: Solve for x
    x = 5,685,612,409/35,512
  6. Step 6: Final answer
    x = 160,103.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.