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Finding the Third Proportional to 28,132 and 66,407

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Solution

The third proportional to 28,132 and 66,407 is: 156,757.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,132 : 66,407 = 66,407 : x
  2. Step 2: Convert to fraction form
    28,132/66,407 = 66,407/x
  3. Step 3: Cross multiply
    28,132x = 66,407 × 66,407
  4. Step 4: Simplify right side
    28,132x = 4,409,889,649
  5. Step 5: Solve for x
    x = 4,409,889,649/28,132
  6. Step 6: Final answer
    x = 156,757.06

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.