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Finding the Third Proportional to 17,155.13 and 31,046.63

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Solution

The third proportional to 17,155.13 and 31,046.63 is: 56,186.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,155.13 : 31,046.63 = 31,046.63 : x
  2. Step 2: Convert to fraction form
    17,155.13/31,046.63 = 31,046.63/x
  3. Step 3: Cross multiply
    17,155.13x = 31,046.63 × 31,046.63
  4. Step 4: Simplify right side
    17,155.13x = 963,892,923.89
  5. Step 5: Solve for x
    x = 963,892,923.89/17,155.13
  6. Step 6: Final answer
    x = 56,186.88

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These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.