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Finding the Third Proportional to 29,567.25 and 68,378.63

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Solution

The third proportional to 29,567.25 and 68,378.63 is: 158,135.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,567.25 : 68,378.63 = 68,378.63 : x
  2. Step 2: Convert to fraction form
    29,567.25/68,378.63 = 68,378.63/x
  3. Step 3: Cross multiply
    29,567.25x = 68,378.63 × 68,378.63
  4. Step 4: Simplify right side
    29,567.25x = 4,675,636,356.89
  5. Step 5: Solve for x
    x = 4,675,636,356.89/29,567.25
  6. Step 6: Final answer
    x = 158,135.65

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.