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Finding the Third Proportional to 34,733.81 and 81,215.16

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Solution

The third proportional to 34,733.81 and 81,215.16 is: 189,898.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,733.81 : 81,215.16 = 81,215.16 : x
  2. Step 2: Convert to fraction form
    34,733.81/81,215.16 = 81,215.16/x
  3. Step 3: Cross multiply
    34,733.81x = 81,215.16 × 81,215.16
  4. Step 4: Simplify right side
    34,733.81x = 6,595,901,604.71
  5. Step 5: Solve for x
    x = 6,595,901,604.71/34,733.81
  6. Step 6: Final answer
    x = 189,898.58

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.