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Finding the Third Proportional to 32,509.13 and 69,868.13

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Solution

The third proportional to 32,509.13 and 69,868.13 is: 150,159.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,509.13 : 69,868.13 = 69,868.13 : x
  2. Step 2: Convert to fraction form
    32,509.13/69,868.13 = 69,868.13/x
  3. Step 3: Cross multiply
    32,509.13x = 69,868.13 × 69,868.13
  4. Step 4: Simplify right side
    32,509.13x = 4,881,554,891.02
  5. Step 5: Solve for x
    x = 4,881,554,891.02/32,509.13
  6. Step 6: Final answer
    x = 150,159.53

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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.