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Finding the Third Proportional to 1,566.98 and 3,712.43

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Solution

The third proportional to 1,566.98 and 3,712.43 is: 8,795.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.98 : 3,712.43 = 3,712.43 : x
  2. Step 2: Convert to fraction form
    1,566.98/3,712.43 = 3,712.43/x
  3. Step 3: Cross multiply
    1,566.98x = 3,712.43 × 3,712.43
  4. Step 4: Simplify right side
    1,566.98x = 13,782,134.18
  5. Step 5: Solve for x
    x = 13,782,134.18/1,566.98
  6. Step 6: Final answer
    x = 8,795.32

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.