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Finding the Third Proportional to 29,212 and 45,765

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Solution

The third proportional to 29,212 and 45,765 is: 71,697.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,212 : 45,765 = 45,765 : x
  2. Step 2: Convert to fraction form
    29,212/45,765 = 45,765/x
  3. Step 3: Cross multiply
    29,212x = 45,765 × 45,765
  4. Step 4: Simplify right side
    29,212x = 2,094,435,225
  5. Step 5: Solve for x
    x = 2,094,435,225/29,212
  6. Step 6: Final answer
    x = 71,697.77

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.