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Finding the Third Proportional to 14,601.30 and 31,966.73

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Solution

The third proportional to 14,601.30 and 31,966.73 is: 69,984.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,601.30 : 31,966.73 = 31,966.73 : x
  2. Step 2: Convert to fraction form
    14,601.30/31,966.73 = 31,966.73/x
  3. Step 3: Cross multiply
    14,601.30x = 31,966.73 × 31,966.73
  4. Step 4: Simplify right side
    14,601.30x = 1,021,872,106.60
  5. Step 5: Solve for x
    x = 1,021,872,106.60/14,601.30
  6. Step 6: Final answer
    x = 69,984.99

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.