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Finding the Third Proportional to 5,742 and 8,777

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Solution

The third proportional to 5,742 and 8,777 is: 13,416.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742 : 8,777 = 8,777 : x
  2. Step 2: Convert to fraction form
    5,742/8,777 = 8,777/x
  3. Step 3: Cross multiply
    5,742x = 8,777 × 8,777
  4. Step 4: Simplify right side
    5,742x = 77,035,729
  5. Step 5: Solve for x
    x = 77,035,729/5,742
  6. Step 6: Final answer
    x = 13,416.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.