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Finding the Third Proportional to 29,985.75 and 37,968.75

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Solution

The third proportional to 29,985.75 and 37,968.75 is: 48,077.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,985.75 : 37,968.75 = 37,968.75 : x
  2. Step 2: Convert to fraction form
    29,985.75/37,968.75 = 37,968.75/x
  3. Step 3: Cross multiply
    29,985.75x = 37,968.75 × 37,968.75
  4. Step 4: Simplify right side
    29,985.75x = 1,441,625,976.56
  5. Step 5: Solve for x
    x = 1,441,625,976.56/29,985.75
  6. Step 6: Final answer
    x = 48,077.04

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.