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Finding the Third Proportional to 27,274.22 and 41,908.01

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Solution

The third proportional to 27,274.22 and 41,908.01 is: 64,393.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,274.22 : 41,908.01 = 41,908.01 : x
  2. Step 2: Convert to fraction form
    27,274.22/41,908.01 = 41,908.01/x
  3. Step 3: Cross multiply
    27,274.22x = 41,908.01 × 41,908.01
  4. Step 4: Simplify right side
    27,274.22x = 1,756,281,118.81
  5. Step 5: Solve for x
    x = 1,756,281,118.81/27,274.22
  6. Step 6: Final answer
    x = 64,393.45

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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.