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Finding the Third Proportional to 3,642 and 5,323

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Solution

The third proportional to 3,642 and 5,323 is: 7,779.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642 : 5,323 = 5,323 : x
  2. Step 2: Convert to fraction form
    3,642/5,323 = 5,323/x
  3. Step 3: Cross multiply
    3,642x = 5,323 × 5,323
  4. Step 4: Simplify right side
    3,642x = 28,334,329
  5. Step 5: Solve for x
    x = 28,334,329/3,642
  6. Step 6: Final answer
    x = 7,779.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.