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Finding the Third Proportional to 29,218.50 and 63,964.50

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Solution

The third proportional to 29,218.50 and 63,964.50 is: 140,029.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,218.50 : 63,964.50 = 63,964.50 : x
  2. Step 2: Convert to fraction form
    29,218.50/63,964.50 = 63,964.50/x
  3. Step 3: Cross multiply
    29,218.50x = 63,964.50 × 63,964.50
  4. Step 4: Simplify right side
    29,218.50x = 4,091,457,260.25
  5. Step 5: Solve for x
    x = 4,091,457,260.25/29,218.50
  6. Step 6: Final answer
    x = 140,029.68

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.