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Finding the Third Proportional to 29,559.94 and 64,868.34

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Solution

The third proportional to 29,559.94 and 64,868.34 is: 142,351.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,559.94 : 64,868.34 = 64,868.34 : x
  2. Step 2: Convert to fraction form
    29,559.94/64,868.34 = 64,868.34/x
  3. Step 3: Cross multiply
    29,559.94x = 64,868.34 × 64,868.34
  4. Step 4: Simplify right side
    29,559.94x = 4,207,902,020.87
  5. Step 5: Solve for x
    x = 4,207,902,020.87/29,559.94
  6. Step 6: Final answer
    x = 142,351.52

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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.