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Finding the Third Proportional to 13,911.33 and 21,572.58

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Solution

The third proportional to 13,911.33 and 21,572.58 is: 33,453.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,911.33 : 21,572.58 = 21,572.58 : x
  2. Step 2: Convert to fraction form
    13,911.33/21,572.58 = 21,572.58/x
  3. Step 3: Cross multiply
    13,911.33x = 21,572.58 × 21,572.58
  4. Step 4: Simplify right side
    13,911.33x = 465,376,126.96
  5. Step 5: Solve for x
    x = 465,376,126.96/13,911.33
  6. Step 6: Final answer
    x = 33,453.03

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