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Finding the Third Proportional to 4,672 and 5,616

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Solution

The third proportional to 4,672 and 5,616 is: 6,750.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672 : 5,616 = 5,616 : x
  2. Step 2: Convert to fraction form
    4,672/5,616 = 5,616/x
  3. Step 3: Cross multiply
    4,672x = 5,616 × 5,616
  4. Step 4: Simplify right side
    4,672x = 31,539,456
  5. Step 5: Solve for x
    x = 31,539,456/4,672
  6. Step 6: Final answer
    x = 6,750.74

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.