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Finding the Third Proportional to 13,493.25 and 29,345.63

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Solution

The third proportional to 13,493.25 and 29,345.63 is: 63,821.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,493.25 : 29,345.63 = 29,345.63 : x
  2. Step 2: Convert to fraction form
    13,493.25/29,345.63 = 29,345.63/x
  3. Step 3: Cross multiply
    13,493.25x = 29,345.63 × 29,345.63
  4. Step 4: Simplify right side
    13,493.25x = 861,165,706.64
  5. Step 5: Solve for x
    x = 861,165,706.64/13,493.25
  6. Step 6: Final answer
    x = 63,821.96

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.