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Finding the Third Proportional to 27,102.09 and 41,709.94

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Solution

The third proportional to 27,102.09 and 41,709.94 is: 64,191.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,102.09 : 41,709.94 = 41,709.94 : x
  2. Step 2: Convert to fraction form
    27,102.09/41,709.94 = 41,709.94/x
  3. Step 3: Cross multiply
    27,102.09x = 41,709.94 × 41,709.94
  4. Step 4: Simplify right side
    27,102.09x = 1,739,718,886.25
  5. Step 5: Solve for x
    x = 1,739,718,886.25/27,102.09
  6. Step 6: Final answer
    x = 64,191.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.