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Finding the Third Proportional to 5,312.25 and 10,472.63

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Solution

The third proportional to 5,312.25 and 10,472.63 is: 20,645.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.25 : 10,472.63 = 10,472.63 : x
  2. Step 2: Convert to fraction form
    5,312.25/10,472.63 = 10,472.63/x
  3. Step 3: Cross multiply
    5,312.25x = 10,472.63 × 10,472.63
  4. Step 4: Simplify right side
    5,312.25x = 109,675,874.39
  5. Step 5: Solve for x
    x = 109,675,874.39/5,312.25
  6. Step 6: Final answer
    x = 20,645.84

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.