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Finding the Third Proportional to 986.71 and 2,037.50

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Solution

The third proportional to 986.71 and 2,037.50 is: 4,207.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.71 : 2,037.50 = 2,037.50 : x
  2. Step 2: Convert to fraction form
    986.71/2,037.50 = 2,037.50/x
  3. Step 3: Cross multiply
    986.71x = 2,037.50 × 2,037.50
  4. Step 4: Simplify right side
    986.71x = 4,151,398.29
  5. Step 5: Solve for x
    x = 4,151,398.29/986.71
  6. Step 6: Final answer
    x = 4,207.30

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.