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Finding the Third Proportional to 1,402.31 and 2,037.94

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Solution

The third proportional to 1,402.31 and 2,037.94 is: 2,961.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.31 : 2,037.94 = 2,037.94 : x
  2. Step 2: Convert to fraction form
    1,402.31/2,037.94 = 2,037.94/x
  3. Step 3: Cross multiply
    1,402.31x = 2,037.94 × 2,037.94
  4. Step 4: Simplify right side
    1,402.31x = 4,153,189.25
  5. Step 5: Solve for x
    x = 4,153,189.25/1,402.31
  6. Step 6: Final answer
    x = 2,961.67

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.