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Finding the Third Proportional to 29,598.75 and 39,876.75

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Solution

The third proportional to 29,598.75 and 39,876.75 is: 53,723.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,598.75 : 39,876.75 = 39,876.75 : x
  2. Step 2: Convert to fraction form
    29,598.75/39,876.75 = 39,876.75/x
  3. Step 3: Cross multiply
    29,598.75x = 39,876.75 × 39,876.75
  4. Step 4: Simplify right side
    29,598.75x = 1,590,155,190.56
  5. Step 5: Solve for x
    x = 1,590,155,190.56/29,598.75
  6. Step 6: Final answer
    x = 53,723.73

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.