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Finding the Third Proportional to 19,492 and 28,822

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Solution

The third proportional to 19,492 and 28,822 is: 42,617.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,492 : 28,822 = 28,822 : x
  2. Step 2: Convert to fraction form
    19,492/28,822 = 28,822/x
  3. Step 3: Cross multiply
    19,492x = 28,822 × 28,822
  4. Step 4: Simplify right side
    19,492x = 830,707,684
  5. Step 5: Solve for x
    x = 830,707,684/19,492
  6. Step 6: Final answer
    x = 42,617.88

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.