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Finding the Third Proportional to 8,851.58 and 13,706.26

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Solution

The third proportional to 8,851.58 and 13,706.26 is: 21,223.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,851.58 : 13,706.26 = 13,706.26 : x
  2. Step 2: Convert to fraction form
    8,851.58/13,706.26 = 13,706.26/x
  3. Step 3: Cross multiply
    8,851.58x = 13,706.26 × 13,706.26
  4. Step 4: Simplify right side
    8,851.58x = 187,861,535.01
  5. Step 5: Solve for x
    x = 187,861,535.01/8,851.58
  6. Step 6: Final answer
    x = 21,223.49

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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.