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Finding the Third Proportional to 9,513.70 and 13,522.36

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Solution

The third proportional to 9,513.70 and 13,522.36 is: 19,220.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,513.70 : 13,522.36 = 13,522.36 : x
  2. Step 2: Convert to fraction form
    9,513.70/13,522.36 = 13,522.36/x
  3. Step 3: Cross multiply
    9,513.70x = 13,522.36 × 13,522.36
  4. Step 4: Simplify right side
    9,513.70x = 182,854,203.07
  5. Step 5: Solve for x
    x = 182,854,203.07/9,513.70
  6. Step 6: Final answer
    x = 19,220.09

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.