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Finding the Third Proportional to 11,053.13 and 13,695.75

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Solution

The third proportional to 11,053.13 and 13,695.75 is: 16,970.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,053.13 : 13,695.75 = 13,695.75 : x
  2. Step 2: Convert to fraction form
    11,053.13/13,695.75 = 13,695.75/x
  3. Step 3: Cross multiply
    11,053.13x = 13,695.75 × 13,695.75
  4. Step 4: Simplify right side
    11,053.13x = 187,573,568.06
  5. Step 5: Solve for x
    x = 187,573,568.06/11,053.13
  6. Step 6: Final answer
    x = 16,970.18

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Why These Related Problems?

These problems maintain the same ratio (1.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.