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Finding the Third Proportional to 4,506 and 9,777

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Solution

The third proportional to 4,506 and 9,777 is: 21,213.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,506 : 9,777 = 9,777 : x
  2. Step 2: Convert to fraction form
    4,506/9,777 = 9,777/x
  3. Step 3: Cross multiply
    4,506x = 9,777 × 9,777
  4. Step 4: Simplify right side
    4,506x = 95,589,729
  5. Step 5: Solve for x
    x = 95,589,729/4,506
  6. Step 6: Final answer
    x = 21,213.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.