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Finding the Third Proportional to 15,872.84 and 23,335.12

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Solution

The third proportional to 15,872.84 and 23,335.12 is: 34,305.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,872.84 : 23,335.12 = 23,335.12 : x
  2. Step 2: Convert to fraction form
    15,872.84/23,335.12 = 23,335.12/x
  3. Step 3: Cross multiply
    15,872.84x = 23,335.12 × 23,335.12
  4. Step 4: Simplify right side
    15,872.84x = 544,527,785.31
  5. Step 5: Solve for x
    x = 544,527,785.31/15,872.84
  6. Step 6: Final answer
    x = 34,305.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.