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Finding the Third Proportional to 4,516 and 10,454

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Solution

The third proportional to 4,516 and 10,454 is: 24,199.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,516 : 10,454 = 10,454 : x
  2. Step 2: Convert to fraction form
    4,516/10,454 = 10,454/x
  3. Step 3: Cross multiply
    4,516x = 10,454 × 10,454
  4. Step 4: Simplify right side
    4,516x = 109,286,116
  5. Step 5: Solve for x
    x = 109,286,116/4,516
  6. Step 6: Final answer
    x = 24,199.76

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.