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Finding the Third Proportional to 34,195.08 and 51,155.93

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Solution

The third proportional to 34,195.08 and 51,155.93 is: 76,529.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,195.08 : 51,155.93 = 51,155.93 : x
  2. Step 2: Convert to fraction form
    34,195.08/51,155.93 = 51,155.93/x
  3. Step 3: Cross multiply
    34,195.08x = 51,155.93 × 51,155.93
  4. Step 4: Simplify right side
    34,195.08x = 2,616,929,142.19
  5. Step 5: Solve for x
    x = 2,616,929,142.19/34,195.08
  6. Step 6: Final answer
    x = 76,529.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.