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Finding the Third Proportional to 34,661 and 70,961.50

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Solution

The third proportional to 34,661 and 70,961.50 is: 145,279.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,661 : 70,961.50 = 70,961.50 : x
  2. Step 2: Convert to fraction form
    34,661/70,961.50 = 70,961.50/x
  3. Step 3: Cross multiply
    34,661x = 70,961.50 × 70,961.50
  4. Step 4: Simplify right side
    34,661x = 5,035,534,482.25
  5. Step 5: Solve for x
    x = 5,035,534,482.25/34,661
  6. Step 6: Final answer
    x = 145,279.55

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.