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Finding the Third Proportional to 29,574 and 44,669

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Solution

The third proportional to 29,574 and 44,669 is: 67,468.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,574 : 44,669 = 44,669 : x
  2. Step 2: Convert to fraction form
    29,574/44,669 = 44,669/x
  3. Step 3: Cross multiply
    29,574x = 44,669 × 44,669
  4. Step 4: Simplify right side
    29,574x = 1,995,319,561
  5. Step 5: Solve for x
    x = 1,995,319,561/29,574
  6. Step 6: Final answer
    x = 67,468.71

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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.