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Finding the Third Proportional to 29,913 and 43,571.25

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Solution

The third proportional to 29,913 and 43,571.25 is: 63,465.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,913 : 43,571.25 = 43,571.25 : x
  2. Step 2: Convert to fraction form
    29,913/43,571.25 = 43,571.25/x
  3. Step 3: Cross multiply
    29,913x = 43,571.25 × 43,571.25
  4. Step 4: Simplify right side
    29,913x = 1,898,453,826.56
  5. Step 5: Solve for x
    x = 1,898,453,826.56/29,913
  6. Step 6: Final answer
    x = 63,465.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.