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Finding the Third Proportional to 28,191 and 65,550

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Solution

The third proportional to 28,191 and 65,550 is: 152,417.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,191 : 65,550 = 65,550 : x
  2. Step 2: Convert to fraction form
    28,191/65,550 = 65,550/x
  3. Step 3: Cross multiply
    28,191x = 65,550 × 65,550
  4. Step 4: Simplify right side
    28,191x = 4,296,802,500
  5. Step 5: Solve for x
    x = 4,296,802,500/28,191
  6. Step 6: Final answer
    x = 152,417.53

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.