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Finding the Third Proportional to 14,591.39 and 31,967.79

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Solution

The third proportional to 14,591.39 and 31,967.79 is: 70,037.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,591.39 : 31,967.79 = 31,967.79 : x
  2. Step 2: Convert to fraction form
    14,591.39/31,967.79 = 31,967.79/x
  3. Step 3: Cross multiply
    14,591.39x = 31,967.79 × 31,967.79
  4. Step 4: Simplify right side
    14,591.39x = 1,021,939,537.54
  5. Step 5: Solve for x
    x = 1,021,939,537.54/14,591.39
  6. Step 6: Final answer
    x = 70,037.16

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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.