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Finding the Third Proportional to 29,846.81 and 64,356.19

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Solution

The third proportional to 29,846.81 and 64,356.19 is: 138,765.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,846.81 : 64,356.19 = 64,356.19 : x
  2. Step 2: Convert to fraction form
    29,846.81/64,356.19 = 64,356.19/x
  3. Step 3: Cross multiply
    29,846.81x = 64,356.19 × 64,356.19
  4. Step 4: Simplify right side
    29,846.81x = 4,141,718,869.54
  5. Step 5: Solve for x
    x = 4,141,718,869.54/29,846.81
  6. Step 6: Final answer
    x = 138,765.87

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.