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Finding the Third Proportional to 35,238.75 and 74,406.75

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Solution

The third proportional to 35,238.75 and 74,406.75 is: 157,110.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,238.75 : 74,406.75 = 74,406.75 : x
  2. Step 2: Convert to fraction form
    35,238.75/74,406.75 = 74,406.75/x
  3. Step 3: Cross multiply
    35,238.75x = 74,406.75 × 74,406.75
  4. Step 4: Simplify right side
    35,238.75x = 5,536,364,445.56
  5. Step 5: Solve for x
    x = 5,536,364,445.56/35,238.75
  6. Step 6: Final answer
    x = 157,110.13

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.