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Finding the Third Proportional to 14,842 and 32,660

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Solution

The third proportional to 14,842 and 32,660 is: 71,868.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,842 : 32,660 = 32,660 : x
  2. Step 2: Convert to fraction form
    14,842/32,660 = 32,660/x
  3. Step 3: Cross multiply
    14,842x = 32,660 × 32,660
  4. Step 4: Simplify right side
    14,842x = 1,066,675,600
  5. Step 5: Solve for x
    x = 1,066,675,600/14,842
  6. Step 6: Final answer
    x = 71,868.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.