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Finding the Third Proportional to 15,404.25 and 22,012.13

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Solution

The third proportional to 15,404.25 and 22,012.13 is: 31,454.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,404.25 : 22,012.13 = 22,012.13 : x
  2. Step 2: Convert to fraction form
    15,404.25/22,012.13 = 22,012.13/x
  3. Step 3: Cross multiply
    15,404.25x = 22,012.13 × 22,012.13
  4. Step 4: Simplify right side
    15,404.25x = 484,533,647.02
  5. Step 5: Solve for x
    x = 484,533,647.02/15,404.25
  6. Step 6: Final answer
    x = 31,454.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.