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Finding the Third Proportional to 31,293.84 and 64,653.19

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Solution

The third proportional to 31,293.84 and 64,653.19 is: 133,573.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,293.84 : 64,653.19 = 64,653.19 : x
  2. Step 2: Convert to fraction form
    31,293.84/64,653.19 = 64,653.19/x
  3. Step 3: Cross multiply
    31,293.84x = 64,653.19 × 64,653.19
  4. Step 4: Simplify right side
    31,293.84x = 4,180,034,653.91
  5. Step 5: Solve for x
    x = 4,180,034,653.91/31,293.84
  6. Step 6: Final answer
    x = 133,573.71

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.