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Finding the Third Proportional to 5,564.75 and 8,666.25

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Solution

The third proportional to 5,564.75 and 8,666.25 is: 13,496.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.75 : 8,666.25 = 8,666.25 : x
  2. Step 2: Convert to fraction form
    5,564.75/8,666.25 = 8,666.25/x
  3. Step 3: Cross multiply
    5,564.75x = 8,666.25 × 8,666.25
  4. Step 4: Simplify right side
    5,564.75x = 75,103,889.06
  5. Step 5: Solve for x
    x = 75,103,889.06/5,564.75
  6. Step 6: Final answer
    x = 13,496.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.