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Finding the Third Proportional to 36,922.71 and 80,528.16

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Solution

The third proportional to 36,922.71 and 80,528.16 is: 175,631.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,922.71 : 80,528.16 = 80,528.16 : x
  2. Step 2: Convert to fraction form
    36,922.71/80,528.16 = 80,528.16/x
  3. Step 3: Cross multiply
    36,922.71x = 80,528.16 × 80,528.16
  4. Step 4: Simplify right side
    36,922.71x = 6,484,784,420.87
  5. Step 5: Solve for x
    x = 6,484,784,420.87/36,922.71
  6. Step 6: Final answer
    x = 175,631.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.