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Finding the Third Proportional to 5,523.75 and 8,564.63

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Solution

The third proportional to 5,523.75 and 8,564.63 is: 13,279.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,523.75 : 8,564.63 = 8,564.63 : x
  2. Step 2: Convert to fraction form
    5,523.75/8,564.63 = 8,564.63/x
  3. Step 3: Cross multiply
    5,523.75x = 8,564.63 × 8,564.63
  4. Step 4: Simplify right side
    5,523.75x = 73,352,801.39
  5. Step 5: Solve for x
    x = 73,352,801.39/5,523.75
  6. Step 6: Final answer
    x = 13,279.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.