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Finding the Third Proportional to 27,335.81 and 34,929.56

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Solution

The third proportional to 27,335.81 and 34,929.56 is: 44,632.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,335.81 : 34,929.56 = 34,929.56 : x
  2. Step 2: Convert to fraction form
    27,335.81/34,929.56 = 34,929.56/x
  3. Step 3: Cross multiply
    27,335.81x = 34,929.56 × 34,929.56
  4. Step 4: Simplify right side
    27,335.81x = 1,220,074,336.44
  5. Step 5: Solve for x
    x = 1,220,074,336.44/27,335.81
  6. Step 6: Final answer
    x = 44,632.82

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.