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Finding the Third Proportional to 29,632.50 and 69,950.25

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Solution

The third proportional to 29,632.50 and 69,950.25 is: 165,124.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,632.50 : 69,950.25 = 69,950.25 : x
  2. Step 2: Convert to fraction form
    29,632.50/69,950.25 = 69,950.25/x
  3. Step 3: Cross multiply
    29,632.50x = 69,950.25 × 69,950.25
  4. Step 4: Simplify right side
    29,632.50x = 4,893,037,475.06
  5. Step 5: Solve for x
    x = 4,893,037,475.06/29,632.50
  6. Step 6: Final answer
    x = 165,124.02

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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.