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Finding the Third Proportional to 22,492 and 32,873

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Solution

The third proportional to 22,492 and 32,873 is: 48,045.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,492 : 32,873 = 32,873 : x
  2. Step 2: Convert to fraction form
    22,492/32,873 = 32,873/x
  3. Step 3: Cross multiply
    22,492x = 32,873 × 32,873
  4. Step 4: Simplify right side
    22,492x = 1,080,634,129
  5. Step 5: Solve for x
    x = 1,080,634,129/22,492
  6. Step 6: Final answer
    x = 48,045.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.