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Finding the Third Proportional to 1,723 and 4,076

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Solution

The third proportional to 1,723 and 4,076 is: 9,642.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723 : 4,076 = 4,076 : x
  2. Step 2: Convert to fraction form
    1,723/4,076 = 4,076/x
  3. Step 3: Cross multiply
    1,723x = 4,076 × 4,076
  4. Step 4: Simplify right side
    1,723x = 16,613,776
  5. Step 5: Solve for x
    x = 16,613,776/1,723
  6. Step 6: Final answer
    x = 9,642.35

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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.