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Finding the Third Proportional to 34,701.75 and 75,235.50

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Solution

The third proportional to 34,701.75 and 75,235.50 is: 163,115.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,701.75 : 75,235.50 = 75,235.50 : x
  2. Step 2: Convert to fraction form
    34,701.75/75,235.50 = 75,235.50/x
  3. Step 3: Cross multiply
    34,701.75x = 75,235.50 × 75,235.50
  4. Step 4: Simplify right side
    34,701.75x = 5,660,380,460.25
  5. Step 5: Solve for x
    x = 5,660,380,460.25/34,701.75
  6. Step 6: Final answer
    x = 163,115.13

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.