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Finding the Third Proportional to 3,564.25 and 8,586.63

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Solution

The third proportional to 3,564.25 and 8,586.63 is: 20,686.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.25 : 8,586.63 = 8,586.63 : x
  2. Step 2: Convert to fraction form
    3,564.25/8,586.63 = 8,586.63/x
  3. Step 3: Cross multiply
    3,564.25x = 8,586.63 × 8,586.63
  4. Step 4: Simplify right side
    3,564.25x = 73,730,128.89
  5. Step 5: Solve for x
    x = 73,730,128.89/3,564.25
  6. Step 6: Final answer
    x = 20,686.01

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.