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Finding the Third Proportional to 1,784 and 4,229

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Solution

The third proportional to 1,784 and 4,229 is: 10,024.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784 : 4,229 = 4,229 : x
  2. Step 2: Convert to fraction form
    1,784/4,229 = 4,229/x
  3. Step 3: Cross multiply
    1,784x = 4,229 × 4,229
  4. Step 4: Simplify right side
    1,784x = 17,884,441
  5. Step 5: Solve for x
    x = 17,884,441/1,784
  6. Step 6: Final answer
    x = 10,024.91

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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.