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Finding the Third Proportional to 22,370 and 32,781

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Solution

The third proportional to 22,370 and 32,781 is: 48,037.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,370 : 32,781 = 32,781 : x
  2. Step 2: Convert to fraction form
    22,370/32,781 = 32,781/x
  3. Step 3: Cross multiply
    22,370x = 32,781 × 32,781
  4. Step 4: Simplify right side
    22,370x = 1,074,593,961
  5. Step 5: Solve for x
    x = 1,074,593,961/22,370
  6. Step 6: Final answer
    x = 48,037.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.