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Finding the Third Proportional to 35,667 and 75,312

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Solution

The third proportional to 35,667 and 75,312 is: 159,023.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,667 : 75,312 = 75,312 : x
  2. Step 2: Convert to fraction form
    35,667/75,312 = 75,312/x
  3. Step 3: Cross multiply
    35,667x = 75,312 × 75,312
  4. Step 4: Simplify right side
    35,667x = 5,671,897,344
  5. Step 5: Solve for x
    x = 5,671,897,344/35,667
  6. Step 6: Final answer
    x = 159,023.67

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.