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Finding the Third Proportional to 29,613.75 and 64,245

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Solution

The third proportional to 29,613.75 and 64,245 is: 139,375.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,613.75 : 64,245 = 64,245 : x
  2. Step 2: Convert to fraction form
    29,613.75/64,245 = 64,245/x
  3. Step 3: Cross multiply
    29,613.75x = 64,245 × 64,245
  4. Step 4: Simplify right side
    29,613.75x = 4,127,420,025
  5. Step 5: Solve for x
    x = 4,127,420,025/29,613.75
  6. Step 6: Final answer
    x = 139,375.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.