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Finding the Third Proportional to 29,644.88 and 69,977.81

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Solution

The third proportional to 29,644.88 and 69,977.81 is: 165,185.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,644.88 : 69,977.81 = 69,977.81 : x
  2. Step 2: Convert to fraction form
    29,644.88/69,977.81 = 69,977.81/x
  3. Step 3: Cross multiply
    29,644.88x = 69,977.81 × 69,977.81
  4. Step 4: Simplify right side
    29,644.88x = 4,896,894,242.29
  5. Step 5: Solve for x
    x = 4,896,894,242.29/29,644.88
  6. Step 6: Final answer
    x = 165,185.19

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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.