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Finding the Third Proportional to 4,658 and 8,956

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Solution

The third proportional to 4,658 and 8,956 is: 17,219.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658 : 8,956 = 8,956 : x
  2. Step 2: Convert to fraction form
    4,658/8,956 = 8,956/x
  3. Step 3: Cross multiply
    4,658x = 8,956 × 8,956
  4. Step 4: Simplify right side
    4,658x = 80,209,936
  5. Step 5: Solve for x
    x = 80,209,936/4,658
  6. Step 6: Final answer
    x = 17,219.82

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.