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Finding the Third Proportional to 5,362 and 10,454

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Solution

The third proportional to 5,362 and 10,454 is: 20,381.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,362 : 10,454 = 10,454 : x
  2. Step 2: Convert to fraction form
    5,362/10,454 = 10,454/x
  3. Step 3: Cross multiply
    5,362x = 10,454 × 10,454
  4. Step 4: Simplify right side
    5,362x = 109,286,116
  5. Step 5: Solve for x
    x = 109,286,116/5,362
  6. Step 6: Final answer
    x = 20,381.60

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.