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Finding the Third Proportional to 4,411 and 5,335

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Solution

The third proportional to 4,411 and 5,335 is: 6,452.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,411 : 5,335 = 5,335 : x
  2. Step 2: Convert to fraction form
    4,411/5,335 = 5,335/x
  3. Step 3: Cross multiply
    4,411x = 5,335 × 5,335
  4. Step 4: Simplify right side
    4,411x = 28,462,225
  5. Step 5: Solve for x
    x = 28,462,225/4,411
  6. Step 6: Final answer
    x = 6,452.56

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.