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Finding the Third Proportional to 27,023.63 and 41,995.13

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Solution

The third proportional to 27,023.63 and 41,995.13 is: 65,261.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,023.63 : 41,995.13 = 41,995.13 : x
  2. Step 2: Convert to fraction form
    27,023.63/41,995.13 = 41,995.13/x
  3. Step 3: Cross multiply
    27,023.63x = 41,995.13 × 41,995.13
  4. Step 4: Simplify right side
    27,023.63x = 1,763,590,523.77
  5. Step 5: Solve for x
    x = 1,763,590,523.77/27,023.63
  6. Step 6: Final answer
    x = 65,261.06

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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.