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Finding the Third Proportional to 12,768.47 and 29,671.31

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Solution

The third proportional to 12,768.47 and 29,671.31 is: 68,950.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,768.47 : 29,671.31 = 29,671.31 : x
  2. Step 2: Convert to fraction form
    12,768.47/29,671.31 = 29,671.31/x
  3. Step 3: Cross multiply
    12,768.47x = 29,671.31 × 29,671.31
  4. Step 4: Simplify right side
    12,768.47x = 880,386,785.47
  5. Step 5: Solve for x
    x = 880,386,785.47/12,768.47
  6. Step 6: Final answer
    x = 68,950.07

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.