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Finding the Third Proportional to 7,538.06 and 20,336.06

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Solution

The third proportional to 7,538.06 and 20,336.06 is: 54,862.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.06 : 20,336.06 = 20,336.06 : x
  2. Step 2: Convert to fraction form
    7,538.06/20,336.06 = 20,336.06/x
  3. Step 3: Cross multiply
    7,538.06x = 20,336.06 × 20,336.06
  4. Step 4: Simplify right side
    7,538.06x = 413,555,438.00
  5. Step 5: Solve for x
    x = 413,555,438.00/7,538.06
  6. Step 6: Final answer
    x = 54,862.30

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.