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Finding the Third Proportional to 35,189 and 52,719

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Solution

The third proportional to 35,189 and 52,719 is: 78,981.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,189 : 52,719 = 52,719 : x
  2. Step 2: Convert to fraction form
    35,189/52,719 = 52,719/x
  3. Step 3: Cross multiply
    35,189x = 52,719 × 52,719
  4. Step 4: Simplify right side
    35,189x = 2,779,292,961
  5. Step 5: Solve for x
    x = 2,779,292,961/35,189
  6. Step 6: Final answer
    x = 78,981.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.