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Finding the Third Proportional to 29,770.50 and 63,633.75

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Solution

The third proportional to 29,770.50 and 63,633.75 is: 136,015.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,770.50 : 63,633.75 = 63,633.75 : x
  2. Step 2: Convert to fraction form
    29,770.50/63,633.75 = 63,633.75/x
  3. Step 3: Cross multiply
    29,770.50x = 63,633.75 × 63,633.75
  4. Step 4: Simplify right side
    29,770.50x = 4,049,254,139.06
  5. Step 5: Solve for x
    x = 4,049,254,139.06/29,770.50
  6. Step 6: Final answer
    x = 136,015.66

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.