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Finding the Third Proportional to 38,506.64 and 82,742.77

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Solution

The third proportional to 38,506.64 and 82,742.77 is: 177,797.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,506.64 : 82,742.77 = 82,742.77 : x
  2. Step 2: Convert to fraction form
    38,506.64/82,742.77 = 82,742.77/x
  3. Step 3: Cross multiply
    38,506.64x = 82,742.77 × 82,742.77
  4. Step 4: Simplify right side
    38,506.64x = 6,846,365,263.27
  5. Step 5: Solve for x
    x = 6,846,365,263.27/38,506.64
  6. Step 6: Final answer
    x = 177,797.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.