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Finding the Third Proportional to 15,824.25 and 34,108.88

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Solution

The third proportional to 15,824.25 and 34,108.88 is: 73,521.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,824.25 : 34,108.88 = 34,108.88 : x
  2. Step 2: Convert to fraction form
    15,824.25/34,108.88 = 34,108.88/x
  3. Step 3: Cross multiply
    15,824.25x = 34,108.88 × 34,108.88
  4. Step 4: Simplify right side
    15,824.25x = 1,163,415,353.77
  5. Step 5: Solve for x
    x = 1,163,415,353.77/15,824.25
  6. Step 6: Final answer
    x = 73,521.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.