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Finding the Third Proportional to 5,337.56 and 7,808.06

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Solution

The third proportional to 5,337.56 and 7,808.06 is: 11,422.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,337.56 : 7,808.06 = 7,808.06 : x
  2. Step 2: Convert to fraction form
    5,337.56/7,808.06 = 7,808.06/x
  3. Step 3: Cross multiply
    5,337.56x = 7,808.06 × 7,808.06
  4. Step 4: Simplify right side
    5,337.56x = 60,965,840.00
  5. Step 5: Solve for x
    x = 60,965,840.00/5,337.56
  6. Step 6: Final answer
    x = 11,422.04

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.