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Finding the Third Proportional to 29,271.94 and 69,077.53

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Solution

The third proportional to 29,271.94 and 69,077.53 is: 163,012.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,271.94 : 69,077.53 = 69,077.53 : x
  2. Step 2: Convert to fraction form
    29,271.94/69,077.53 = 69,077.53/x
  3. Step 3: Cross multiply
    29,271.94x = 69,077.53 × 69,077.53
  4. Step 4: Simplify right side
    29,271.94x = 4,771,705,323.59
  5. Step 5: Solve for x
    x = 4,771,705,323.59/29,271.94
  6. Step 6: Final answer
    x = 163,012.97

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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.