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Finding the Third Proportional to 33,810 and 52,560

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Solution

The third proportional to 33,810 and 52,560 is: 81,708.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,810 : 52,560 = 52,560 : x
  2. Step 2: Convert to fraction form
    33,810/52,560 = 52,560/x
  3. Step 3: Cross multiply
    33,810x = 52,560 × 52,560
  4. Step 4: Simplify right side
    33,810x = 2,762,553,600
  5. Step 5: Solve for x
    x = 2,762,553,600/33,810
  6. Step 6: Final answer
    x = 81,708.18

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.