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Finding the Third Proportional to 2,037 and 4,460

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Solution

The third proportional to 2,037 and 4,460 is: 9,765.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037 : 4,460 = 4,460 : x
  2. Step 2: Convert to fraction form
    2,037/4,460 = 4,460/x
  3. Step 3: Cross multiply
    2,037x = 4,460 × 4,460
  4. Step 4: Simplify right side
    2,037x = 19,891,600
  5. Step 5: Solve for x
    x = 19,891,600/2,037
  6. Step 6: Final answer
    x = 9,765.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.