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Finding the Third Proportional to 29,046 and 44,670

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Solution

The third proportional to 29,046 and 44,670 is: 68,698.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,046 : 44,670 = 44,670 : x
  2. Step 2: Convert to fraction form
    29,046/44,670 = 44,670/x
  3. Step 3: Cross multiply
    29,046x = 44,670 × 44,670
  4. Step 4: Simplify right side
    29,046x = 1,995,408,900
  5. Step 5: Solve for x
    x = 1,995,408,900/29,046
  6. Step 6: Final answer
    x = 68,698.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.