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Finding the Third Proportional to 2,074 and 4,513

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Solution

The third proportional to 2,074 and 4,513 is: 9,820.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074 : 4,513 = 4,513 : x
  2. Step 2: Convert to fraction form
    2,074/4,513 = 4,513/x
  3. Step 3: Cross multiply
    2,074x = 4,513 × 4,513
  4. Step 4: Simplify right side
    2,074x = 20,367,169
  5. Step 5: Solve for x
    x = 20,367,169/2,074
  6. Step 6: Final answer
    x = 9,820.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.