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Finding the Third Proportional to 12,797.37 and 19,665.91

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Solution

The third proportional to 12,797.37 and 19,665.91 is: 30,220.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,797.37 : 19,665.91 = 19,665.91 : x
  2. Step 2: Convert to fraction form
    12,797.37/19,665.91 = 19,665.91/x
  3. Step 3: Cross multiply
    12,797.37x = 19,665.91 × 19,665.91
  4. Step 4: Simplify right side
    12,797.37x = 386,748,175.91
  5. Step 5: Solve for x
    x = 386,748,175.91/12,797.37
  6. Step 6: Final answer
    x = 30,220.92

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.