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Finding the Third Proportional to 3,564.56 and 5,342.06

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Solution

The third proportional to 3,564.56 and 5,342.06 is: 8,005.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.56 : 5,342.06 = 5,342.06 : x
  2. Step 2: Convert to fraction form
    3,564.56/5,342.06 = 5,342.06/x
  3. Step 3: Cross multiply
    3,564.56x = 5,342.06 × 5,342.06
  4. Step 4: Simplify right side
    3,564.56x = 28,537,631.75
  5. Step 5: Solve for x
    x = 28,537,631.75/3,564.56
  6. Step 6: Final answer
    x = 8,005.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.