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Finding the Third Proportional to 4,416 and 4,824

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Solution

The third proportional to 4,416 and 4,824 is: 5,269.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,416 : 4,824 = 4,824 : x
  2. Step 2: Convert to fraction form
    4,416/4,824 = 4,824/x
  3. Step 3: Cross multiply
    4,416x = 4,824 × 4,824
  4. Step 4: Simplify right side
    4,416x = 23,270,976
  5. Step 5: Solve for x
    x = 23,270,976/4,416
  6. Step 6: Final answer
    x = 5,269.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.