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Finding the Third Proportional to 31,465.89 and 68,409.96

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Solution

The third proportional to 31,465.89 and 68,409.96 is: 148,730.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,465.89 : 68,409.96 = 68,409.96 : x
  2. Step 2: Convert to fraction form
    31,465.89/68,409.96 = 68,409.96/x
  3. Step 3: Cross multiply
    31,465.89x = 68,409.96 × 68,409.96
  4. Step 4: Simplify right side
    31,465.89x = 4,679,922,354.63
  5. Step 5: Solve for x
    x = 4,679,922,354.63/31,465.89
  6. Step 6: Final answer
    x = 148,730.02

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.