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Finding the Third Proportional to 31,802.63 and 68,662.69

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Solution

The third proportional to 31,802.63 and 68,662.69 is: 148,244.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,802.63 : 68,662.69 = 68,662.69 : x
  2. Step 2: Convert to fraction form
    31,802.63/68,662.69 = 68,662.69/x
  3. Step 3: Cross multiply
    31,802.63x = 68,662.69 × 68,662.69
  4. Step 4: Simplify right side
    31,802.63x = 4,714,564,654.72
  5. Step 5: Solve for x
    x = 4,714,564,654.72/31,802.63
  6. Step 6: Final answer
    x = 148,244.51

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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.