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Finding the Third Proportional to 32,500.13 and 69,851.06

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Solution

The third proportional to 32,500.13 and 69,851.06 is: 150,127.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,500.13 : 69,851.06 = 69,851.06 : x
  2. Step 2: Convert to fraction form
    32,500.13/69,851.06 = 69,851.06/x
  3. Step 3: Cross multiply
    32,500.13x = 69,851.06 × 69,851.06
  4. Step 4: Simplify right side
    32,500.13x = 4,879,170,932.38
  5. Step 5: Solve for x
    x = 4,879,170,932.38/32,500.13
  6. Step 6: Final answer
    x = 150,127.76

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.