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Finding the Third Proportional to 29,874 and 45,856

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Solution

The third proportional to 29,874 and 45,856 is: 70,388.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,874 : 45,856 = 45,856 : x
  2. Step 2: Convert to fraction form
    29,874/45,856 = 45,856/x
  3. Step 3: Cross multiply
    29,874x = 45,856 × 45,856
  4. Step 4: Simplify right side
    29,874x = 2,102,772,736
  5. Step 5: Solve for x
    x = 2,102,772,736/29,874
  6. Step 6: Final answer
    x = 70,388.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.