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Finding the Third Proportional to 31,802.94 and 66,875.06

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Solution

The third proportional to 31,802.94 and 66,875.06 is: 140,624.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,802.94 : 66,875.06 = 66,875.06 : x
  2. Step 2: Convert to fraction form
    31,802.94/66,875.06 = 66,875.06/x
  3. Step 3: Cross multiply
    31,802.94x = 66,875.06 × 66,875.06
  4. Step 4: Simplify right side
    31,802.94x = 4,472,273,984.38
  5. Step 5: Solve for x
    x = 4,472,273,984.38/31,802.94
  6. Step 6: Final answer
    x = 140,624.56

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.