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Finding the Third Proportional to 32,577.75 and 70,760.25

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Solution

The third proportional to 32,577.75 and 70,760.25 is: 153,694.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,577.75 : 70,760.25 = 70,760.25 : x
  2. Step 2: Convert to fraction form
    32,577.75/70,760.25 = 70,760.25/x
  3. Step 3: Cross multiply
    32,577.75x = 70,760.25 × 70,760.25
  4. Step 4: Simplify right side
    32,577.75x = 5,007,012,980.06
  5. Step 5: Solve for x
    x = 5,007,012,980.06/32,577.75
  6. Step 6: Final answer
    x = 153,694.25

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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.