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Finding the Third Proportional to 29,491 and 64,165

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Solution

The third proportional to 29,491 and 64,165 is: 139,606.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,491 : 64,165 = 64,165 : x
  2. Step 2: Convert to fraction form
    29,491/64,165 = 64,165/x
  3. Step 3: Cross multiply
    29,491x = 64,165 × 64,165
  4. Step 4: Simplify right side
    29,491x = 4,117,147,225
  5. Step 5: Solve for x
    x = 4,117,147,225/29,491
  6. Step 6: Final answer
    x = 139,606.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.