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Finding the Third Proportional to 31,222.97 and 46,007.58

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Solution

The third proportional to 31,222.97 and 46,007.58 is: 67,792.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,222.97 : 46,007.58 = 46,007.58 : x
  2. Step 2: Convert to fraction form
    31,222.97/46,007.58 = 46,007.58/x
  3. Step 3: Cross multiply
    31,222.97x = 46,007.58 × 46,007.58
  4. Step 4: Simplify right side
    31,222.97x = 2,116,697,244.93
  5. Step 5: Solve for x
    x = 2,116,697,244.93/31,222.97
  6. Step 6: Final answer
    x = 67,792.95

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.