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Finding the Third Proportional to 31,775.06 and 68,475.38

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Solution

The third proportional to 31,775.06 and 68,475.38 is: 147,564.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,775.06 : 68,475.38 = 68,475.38 : x
  2. Step 2: Convert to fraction form
    31,775.06/68,475.38 = 68,475.38/x
  3. Step 3: Cross multiply
    31,775.06x = 68,475.38 × 68,475.38
  4. Step 4: Simplify right side
    31,775.06x = 4,688,876,981.39
  5. Step 5: Solve for x
    x = 4,688,876,981.39/31,775.06
  6. Step 6: Final answer
    x = 147,564.68

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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.