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Finding the Third Proportional to 29,492 and 32,372

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Solution

The third proportional to 29,492 and 32,372 is: 35,533.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,492 : 32,372 = 32,372 : x
  2. Step 2: Convert to fraction form
    29,492/32,372 = 32,372/x
  3. Step 3: Cross multiply
    29,492x = 32,372 × 32,372
  4. Step 4: Simplify right side
    29,492x = 1,047,946,384
  5. Step 5: Solve for x
    x = 1,047,946,384/29,492
  6. Step 6: Final answer
    x = 35,533.24

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.