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Finding the Third Proportional to 29,532.66 and 47,374.03

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Solution

The third proportional to 29,532.66 and 47,374.03 is: 75,993.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,532.66 : 47,374.03 = 47,374.03 : x
  2. Step 2: Convert to fraction form
    29,532.66/47,374.03 = 47,374.03/x
  3. Step 3: Cross multiply
    29,532.66x = 47,374.03 × 47,374.03
  4. Step 4: Simplify right side
    29,532.66x = 2,244,298,836.88
  5. Step 5: Solve for x
    x = 2,244,298,836.88/29,532.66
  6. Step 6: Final answer
    x = 75,993.80

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.