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Finding the Third Proportional to 34,534.15 and 51,588.19

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Solution

The third proportional to 34,534.15 and 51,588.19 is: 77,064.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,534.15 : 51,588.19 = 51,588.19 : x
  2. Step 2: Convert to fraction form
    34,534.15/51,588.19 = 51,588.19/x
  3. Step 3: Cross multiply
    34,534.15x = 51,588.19 × 51,588.19
  4. Step 4: Simplify right side
    34,534.15x = 2,661,340,843.94
  5. Step 5: Solve for x
    x = 2,661,340,843.94/34,534.15
  6. Step 6: Final answer
    x = 77,064.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.