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Finding the Third Proportional to 14,220 and 33,210

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Solution

The third proportional to 14,220 and 33,210 is: 77,560.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,220 : 33,210 = 33,210 : x
  2. Step 2: Convert to fraction form
    14,220/33,210 = 33,210/x
  3. Step 3: Cross multiply
    14,220x = 33,210 × 33,210
  4. Step 4: Simplify right side
    14,220x = 1,102,904,100
  5. Step 5: Solve for x
    x = 1,102,904,100/14,220
  6. Step 6: Final answer
    x = 77,560.06

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.