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Finding the Third Proportional to 22,112 and 31,492

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Solution

The third proportional to 22,112 and 31,492 is: 44,851.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,112 : 31,492 = 31,492 : x
  2. Step 2: Convert to fraction form
    22,112/31,492 = 31,492/x
  3. Step 3: Cross multiply
    22,112x = 31,492 × 31,492
  4. Step 4: Simplify right side
    22,112x = 991,746,064
  5. Step 5: Solve for x
    x = 991,746,064/22,112
  6. Step 6: Final answer
    x = 44,851.03

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.