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Finding the Third Proportional to 29,959.50 and 65,808.75

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Solution

The third proportional to 29,959.50 and 65,808.75 is: 144,554.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,959.50 : 65,808.75 = 65,808.75 : x
  2. Step 2: Convert to fraction form
    29,959.50/65,808.75 = 65,808.75/x
  3. Step 3: Cross multiply
    29,959.50x = 65,808.75 × 65,808.75
  4. Step 4: Simplify right side
    29,959.50x = 4,330,791,576.56
  5. Step 5: Solve for x
    x = 4,330,791,576.56/29,959.50
  6. Step 6: Final answer
    x = 144,554.87

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Why These Related Problems?

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