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Finding the Third Proportional to 7,157.63 and 15,726.75

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Solution

The third proportional to 7,157.63 and 15,726.75 is: 34,554.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.63 : 15,726.75 = 15,726.75 : x
  2. Step 2: Convert to fraction form
    7,157.63/15,726.75 = 15,726.75/x
  3. Step 3: Cross multiply
    7,157.63x = 15,726.75 × 15,726.75
  4. Step 4: Simplify right side
    7,157.63x = 247,330,665.56
  5. Step 5: Solve for x
    x = 247,330,665.56/7,157.63
  6. Step 6: Final answer
    x = 34,554.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.