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Finding the Third Proportional to 39,192 and 59,709.75

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Solution

The third proportional to 39,192 and 59,709.75 is: 90,968.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,192 : 59,709.75 = 59,709.75 : x
  2. Step 2: Convert to fraction form
    39,192/59,709.75 = 59,709.75/x
  3. Step 3: Cross multiply
    39,192x = 59,709.75 × 59,709.75
  4. Step 4: Simplify right side
    39,192x = 3,565,254,245.06
  5. Step 5: Solve for x
    x = 3,565,254,245.06/39,192
  6. Step 6: Final answer
    x = 90,968.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.