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Finding the Third Proportional to 4,416 and 10,797

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Solution

The third proportional to 4,416 and 10,797 is: 26,398.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,416 : 10,797 = 10,797 : x
  2. Step 2: Convert to fraction form
    4,416/10,797 = 10,797/x
  3. Step 3: Cross multiply
    4,416x = 10,797 × 10,797
  4. Step 4: Simplify right side
    4,416x = 116,575,209
  5. Step 5: Solve for x
    x = 116,575,209/4,416
  6. Step 6: Final answer
    x = 26,398.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.