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Finding the Third Proportional to 34,196.25 and 52,529.63

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Solution

The third proportional to 34,196.25 and 52,529.63 is: 80,691.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,196.25 : 52,529.63 = 52,529.63 : x
  2. Step 2: Convert to fraction form
    34,196.25/52,529.63 = 52,529.63/x
  3. Step 3: Cross multiply
    34,196.25x = 52,529.63 × 52,529.63
  4. Step 4: Simplify right side
    34,196.25x = 2,759,361,502.64
  5. Step 5: Solve for x
    x = 2,759,361,502.64/34,196.25
  6. Step 6: Final answer
    x = 80,691.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.