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Finding the Third Proportional to 9,129.52 and 13,793.06

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Solution

The third proportional to 9,129.52 and 13,793.06 is: 20,838.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129.52 : 13,793.06 = 13,793.06 : x
  2. Step 2: Convert to fraction form
    9,129.52/13,793.06 = 13,793.06/x
  3. Step 3: Cross multiply
    9,129.52x = 13,793.06 × 13,793.06
  4. Step 4: Simplify right side
    9,129.52x = 190,248,573.13
  5. Step 5: Solve for x
    x = 190,248,573.13/9,129.52
  6. Step 6: Final answer
    x = 20,838.85

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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.