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Finding the Third Proportional to 35,712.75 and 68,184.75

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Solution

The third proportional to 35,712.75 and 68,184.75 is: 130,182.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,712.75 : 68,184.75 = 68,184.75 : x
  2. Step 2: Convert to fraction form
    35,712.75/68,184.75 = 68,184.75/x
  3. Step 3: Cross multiply
    35,712.75x = 68,184.75 × 68,184.75
  4. Step 4: Simplify right side
    35,712.75x = 4,649,160,132.56
  5. Step 5: Solve for x
    x = 4,649,160,132.56/35,712.75
  6. Step 6: Final answer
    x = 130,182.08

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These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.