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Finding the Third Proportional to 29,643.47 and 69,975.14

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Solution

The third proportional to 29,643.47 and 69,975.14 is: 165,180.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,643.47 : 69,975.14 = 69,975.14 : x
  2. Step 2: Convert to fraction form
    29,643.47/69,975.14 = 69,975.14/x
  3. Step 3: Cross multiply
    29,643.47x = 69,975.14 × 69,975.14
  4. Step 4: Simplify right side
    29,643.47x = 4,896,520,305.49
  5. Step 5: Solve for x
    x = 4,896,520,305.49/29,643.47
  6. Step 6: Final answer
    x = 165,180.41

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.