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Finding the Third Proportional to 13,034.25 and 31,505.63

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Solution

The third proportional to 13,034.25 and 31,505.63 is: 76,153.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,034.25 : 31,505.63 = 31,505.63 : x
  2. Step 2: Convert to fraction form
    13,034.25/31,505.63 = 31,505.63/x
  3. Step 3: Cross multiply
    13,034.25x = 31,505.63 × 31,505.63
  4. Step 4: Simplify right side
    13,034.25x = 992,604,406.64
  5. Step 5: Solve for x
    x = 992,604,406.64/13,034.25
  6. Step 6: Final answer
    x = 76,153.55

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.