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Finding the Third Proportional to 29,163.66 and 63,977.06

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Solution

The third proportional to 29,163.66 and 63,977.06 is: 140,348.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,163.66 : 63,977.06 = 63,977.06 : x
  2. Step 2: Convert to fraction form
    29,163.66/63,977.06 = 63,977.06/x
  3. Step 3: Cross multiply
    29,163.66x = 63,977.06 × 63,977.06
  4. Step 4: Simplify right side
    29,163.66x = 4,093,064,526.13
  5. Step 5: Solve for x
    x = 4,093,064,526.13/29,163.66
  6. Step 6: Final answer
    x = 140,348.13

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.