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Finding the Third Proportional to 15,741.84 and 23,760.84

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Solution

The third proportional to 15,741.84 and 23,760.84 is: 35,864.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,741.84 : 23,760.84 = 23,760.84 : x
  2. Step 2: Convert to fraction form
    15,741.84/23,760.84 = 23,760.84/x
  3. Step 3: Cross multiply
    15,741.84x = 23,760.84 × 23,760.84
  4. Step 4: Simplify right side
    15,741.84x = 564,577,695.71
  5. Step 5: Solve for x
    x = 564,577,695.71/15,741.84
  6. Step 6: Final answer
    x = 35,864.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.