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Finding the Third Proportional to 17,263.13 and 27,109.69

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Solution

The third proportional to 17,263.13 and 27,109.69 is: 42,572.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,263.13 : 27,109.69 = 27,109.69 : x
  2. Step 2: Convert to fraction form
    17,263.13/27,109.69 = 27,109.69/x
  3. Step 3: Cross multiply
    17,263.13x = 27,109.69 × 27,109.69
  4. Step 4: Simplify right side
    17,263.13x = 734,935,156.35
  5. Step 5: Solve for x
    x = 734,935,156.35/17,263.13
  6. Step 6: Final answer
    x = 42,572.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.