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Finding the Third Proportional to 11,345.06 and 15,868.41

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Solution

The third proportional to 11,345.06 and 15,868.41 is: 22,195.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,345.06 : 15,868.41 = 15,868.41 : x
  2. Step 2: Convert to fraction form
    11,345.06/15,868.41 = 15,868.41/x
  3. Step 3: Cross multiply
    11,345.06x = 15,868.41 × 15,868.41
  4. Step 4: Simplify right side
    11,345.06x = 251,806,316.92
  5. Step 5: Solve for x
    x = 251,806,316.92/11,345.06
  6. Step 6: Final answer
    x = 22,195.23

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.