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Finding the Third Proportional to 43,029.98 and 66,464.30

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Solution

The third proportional to 43,029.98 and 66,464.30 is: 102,661.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,029.98 : 66,464.30 = 66,464.30 : x
  2. Step 2: Convert to fraction form
    43,029.98/66,464.30 = 66,464.30/x
  3. Step 3: Cross multiply
    43,029.98x = 66,464.30 × 66,464.30
  4. Step 4: Simplify right side
    43,029.98x = 4,417,502,759.09
  5. Step 5: Solve for x
    x = 4,417,502,759.09/43,029.98
  6. Step 6: Final answer
    x = 102,661.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.