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Finding the Third Proportional to 29,270 and 32,346

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Solution

The third proportional to 29,270 and 32,346 is: 35,745.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,270 : 32,346 = 32,346 : x
  2. Step 2: Convert to fraction form
    29,270/32,346 = 32,346/x
  3. Step 3: Cross multiply
    29,270x = 32,346 × 32,346
  4. Step 4: Simplify right side
    29,270x = 1,046,263,716
  5. Step 5: Solve for x
    x = 1,046,263,716/29,270
  6. Step 6: Final answer
    x = 35,745.26

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.