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Finding the Third Proportional to 18,090 and 27,955.13

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Solution

The third proportional to 18,090 and 27,955.13 is: 43,200.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,090 : 27,955.13 = 27,955.13 : x
  2. Step 2: Convert to fraction form
    18,090/27,955.13 = 27,955.13/x
  3. Step 3: Cross multiply
    18,090x = 27,955.13 × 27,955.13
  4. Step 4: Simplify right side
    18,090x = 781,489,013.77
  5. Step 5: Solve for x
    x = 781,489,013.77/18,090
  6. Step 6: Final answer
    x = 43,200.06

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Why These Related Problems?

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