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Finding the Third Proportional to 29,509.31 and 44,544.66

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Solution

The third proportional to 29,509.31 and 44,544.66 is: 67,240.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,509.31 : 44,544.66 = 44,544.66 : x
  2. Step 2: Convert to fraction form
    29,509.31/44,544.66 = 44,544.66/x
  3. Step 3: Cross multiply
    29,509.31x = 44,544.66 × 44,544.66
  4. Step 4: Simplify right side
    29,509.31x = 1,984,226,400.43
  5. Step 5: Solve for x
    x = 1,984,226,400.43/29,509.31
  6. Step 6: Final answer
    x = 67,240.69

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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.