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Finding the Third Proportional to 29,512.69 and 63,235.69

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Solution

The third proportional to 29,512.69 and 63,235.69 is: 135,492.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,512.69 : 63,235.69 = 63,235.69 : x
  2. Step 2: Convert to fraction form
    29,512.69/63,235.69 = 63,235.69/x
  3. Step 3: Cross multiply
    29,512.69x = 63,235.69 × 63,235.69
  4. Step 4: Simplify right side
    29,512.69x = 3,998,752,173.60
  5. Step 5: Solve for x
    x = 3,998,752,173.60/29,512.69
  6. Step 6: Final answer
    x = 135,492.65

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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.