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Finding the Third Proportional to 34,670.25 and 70,980.75

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Solution

The third proportional to 34,670.25 and 70,980.75 is: 145,319.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,670.25 : 70,980.75 = 70,980.75 : x
  2. Step 2: Convert to fraction form
    34,670.25/70,980.75 = 70,980.75/x
  3. Step 3: Cross multiply
    34,670.25x = 70,980.75 × 70,980.75
  4. Step 4: Simplify right side
    34,670.25x = 5,038,266,870.56
  5. Step 5: Solve for x
    x = 5,038,266,870.56/34,670.25
  6. Step 6: Final answer
    x = 145,319.60

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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.