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Finding the Third Proportional to 29,707 and 44,846

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Solution

The third proportional to 29,707 and 44,846 is: 67,699.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,707 : 44,846 = 44,846 : x
  2. Step 2: Convert to fraction form
    29,707/44,846 = 44,846/x
  3. Step 3: Cross multiply
    29,707x = 44,846 × 44,846
  4. Step 4: Simplify right side
    29,707x = 2,011,163,716
  5. Step 5: Solve for x
    x = 2,011,163,716/29,707
  6. Step 6: Final answer
    x = 67,699.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.