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Finding the Third Proportional to 9,812 and 15,454

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Solution

The third proportional to 9,812 and 15,454 is: 24,340.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812 : 15,454 = 15,454 : x
  2. Step 2: Convert to fraction form
    9,812/15,454 = 15,454/x
  3. Step 3: Cross multiply
    9,812x = 15,454 × 15,454
  4. Step 4: Simplify right side
    9,812x = 238,826,116
  5. Step 5: Solve for x
    x = 238,826,116/9,812
  6. Step 6: Final answer
    x = 24,340.21

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.