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Finding the Third Proportional to 11,053.13 and 15,543.56

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Solution

The third proportional to 11,053.13 and 15,543.56 is: 21,858.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,053.13 : 15,543.56 = 15,543.56 : x
  2. Step 2: Convert to fraction form
    11,053.13/15,543.56 = 15,543.56/x
  3. Step 3: Cross multiply
    11,053.13x = 15,543.56 × 15,543.56
  4. Step 4: Simplify right side
    11,053.13x = 241,602,335.19
  5. Step 5: Solve for x
    x = 241,602,335.19/11,053.13
  6. Step 6: Final answer
    x = 21,858.28

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.