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Finding the Third Proportional to 17,120.11 and 26,654.06

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Solution

The third proportional to 17,120.11 and 26,654.06 is: 41,497.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,120.11 : 26,654.06 = 26,654.06 : x
  2. Step 2: Convert to fraction form
    17,120.11/26,654.06 = 26,654.06/x
  3. Step 3: Cross multiply
    17,120.11x = 26,654.06 × 26,654.06
  4. Step 4: Simplify right side
    17,120.11x = 710,439,047.75
  5. Step 5: Solve for x
    x = 710,439,047.75/17,120.11
  6. Step 6: Final answer
    x = 41,497.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.