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Finding the Third Proportional to 29,426.25 and 64,789.50

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Solution

The third proportional to 29,426.25 and 64,789.50 is: 142,650.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,426.25 : 64,789.50 = 64,789.50 : x
  2. Step 2: Convert to fraction form
    29,426.25/64,789.50 = 64,789.50/x
  3. Step 3: Cross multiply
    29,426.25x = 64,789.50 × 64,789.50
  4. Step 4: Simplify right side
    29,426.25x = 4,197,679,310.25
  5. Step 5: Solve for x
    x = 4,197,679,310.25/29,426.25
  6. Step 6: Final answer
    x = 142,650.84

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.