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Finding the Third Proportional to 29,383.50 and 64,598.25

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Solution

The third proportional to 29,383.50 and 64,598.25 is: 142,016.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,383.50 : 64,598.25 = 64,598.25 : x
  2. Step 2: Convert to fraction form
    29,383.50/64,598.25 = 64,598.25/x
  3. Step 3: Cross multiply
    29,383.50x = 64,598.25 × 64,598.25
  4. Step 4: Simplify right side
    29,383.50x = 4,172,933,903.06
  5. Step 5: Solve for x
    x = 4,172,933,903.06/29,383.50
  6. Step 6: Final answer
    x = 142,016.23

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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.