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Finding the Third Proportional to 7,701.54 and 15,767.37

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Solution

The third proportional to 7,701.54 and 15,767.37 is: 32,280.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701.54 : 15,767.37 = 15,767.37 : x
  2. Step 2: Convert to fraction form
    7,701.54/15,767.37 = 15,767.37/x
  3. Step 3: Cross multiply
    7,701.54x = 15,767.37 × 15,767.37
  4. Step 4: Simplify right side
    7,701.54x = 248,609,868.03
  5. Step 5: Solve for x
    x = 248,609,868.03/7,701.54
  6. Step 6: Final answer
    x = 32,280.54

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.