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Finding the Third Proportional to 15,617.81 and 24,107.63

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Solution

The third proportional to 15,617.81 and 24,107.63 is: 37,212.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,617.81 : 24,107.63 = 24,107.63 : x
  2. Step 2: Convert to fraction form
    15,617.81/24,107.63 = 24,107.63/x
  3. Step 3: Cross multiply
    15,617.81x = 24,107.63 × 24,107.63
  4. Step 4: Simplify right side
    15,617.81x = 581,177,583.14
  5. Step 5: Solve for x
    x = 581,177,583.14/15,617.81
  6. Step 6: Final answer
    x = 37,212.48

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.