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Finding the Third Proportional to 12,657.09 and 30,456.84

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Solution

The third proportional to 12,657.09 and 30,456.84 is: 73,288.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,657.09 : 30,456.84 = 30,456.84 : x
  2. Step 2: Convert to fraction form
    12,657.09/30,456.84 = 30,456.84/x
  3. Step 3: Cross multiply
    12,657.09x = 30,456.84 × 30,456.84
  4. Step 4: Simplify right side
    12,657.09x = 927,619,331.21
  5. Step 5: Solve for x
    x = 927,619,331.21/12,657.09
  6. Step 6: Final answer
    x = 73,288.49

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.