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Finding the Third Proportional to 5,532.75 and 8,764.88

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Solution

The third proportional to 5,532.75 and 8,764.88 is: 13,885.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,532.75 : 8,764.88 = 8,764.88 : x
  2. Step 2: Convert to fraction form
    5,532.75/8,764.88 = 8,764.88/x
  3. Step 3: Cross multiply
    5,532.75x = 8,764.88 × 8,764.88
  4. Step 4: Simplify right side
    5,532.75x = 76,823,033.77
  5. Step 5: Solve for x
    x = 76,823,033.77/5,532.75
  6. Step 6: Final answer
    x = 13,885.14

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.