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Finding the Third Proportional to 33,810 and 63,390

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Solution

The third proportional to 33,810 and 63,390 is: 118,849.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,810 : 63,390 = 63,390 : x
  2. Step 2: Convert to fraction form
    33,810/63,390 = 63,390/x
  3. Step 3: Cross multiply
    33,810x = 63,390 × 63,390
  4. Step 4: Simplify right side
    33,810x = 4,018,292,100
  5. Step 5: Solve for x
    x = 4,018,292,100/33,810
  6. Step 6: Final answer
    x = 118,849.22

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.