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Finding the Third Proportional to 34,516.13 and 47,400.19

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Solution

The third proportional to 34,516.13 and 47,400.19 is: 65,093.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,516.13 : 47,400.19 = 47,400.19 : x
  2. Step 2: Convert to fraction form
    34,516.13/47,400.19 = 47,400.19/x
  3. Step 3: Cross multiply
    34,516.13x = 47,400.19 × 47,400.19
  4. Step 4: Simplify right side
    34,516.13x = 2,246,777,775.04
  5. Step 5: Solve for x
    x = 2,246,777,775.04/34,516.13
  6. Step 6: Final answer
    x = 65,093.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.