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Finding the Third Proportional to 31,721.63 and 67,665.38

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Solution

The third proportional to 31,721.63 and 67,665.38 is: 144,336.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,721.63 : 67,665.38 = 67,665.38 : x
  2. Step 2: Convert to fraction form
    31,721.63/67,665.38 = 67,665.38/x
  3. Step 3: Cross multiply
    31,721.63x = 67,665.38 × 67,665.38
  4. Step 4: Simplify right side
    31,721.63x = 4,578,602,973.89
  5. Step 5: Solve for x
    x = 4,578,602,973.89/31,721.63
  6. Step 6: Final answer
    x = 144,336.96

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.