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Finding the Third Proportional to 33,588 and 72,360

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Solution

The third proportional to 33,588 and 72,360 is: 155,888.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,588 : 72,360 = 72,360 : x
  2. Step 2: Convert to fraction form
    33,588/72,360 = 72,360/x
  3. Step 3: Cross multiply
    33,588x = 72,360 × 72,360
  4. Step 4: Simplify right side
    33,588x = 5,235,969,600
  5. Step 5: Solve for x
    x = 5,235,969,600/33,588
  6. Step 6: Final answer
    x = 155,888.10

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.