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Finding the Third Proportional to 33,310 and 71,492

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Solution

The third proportional to 33,310 and 71,492 is: 153,440.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,310 : 71,492 = 71,492 : x
  2. Step 2: Convert to fraction form
    33,310/71,492 = 71,492/x
  3. Step 3: Cross multiply
    33,310x = 71,492 × 71,492
  4. Step 4: Simplify right side
    33,310x = 5,111,106,064
  5. Step 5: Solve for x
    x = 5,111,106,064/33,310
  6. Step 6: Final answer
    x = 153,440.59

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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.