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Finding the Third Proportional to 6,521 and 10,454

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Solution

The third proportional to 6,521 and 10,454 is: 16,759.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,521 : 10,454 = 10,454 : x
  2. Step 2: Convert to fraction form
    6,521/10,454 = 10,454/x
  3. Step 3: Cross multiply
    6,521x = 10,454 × 10,454
  4. Step 4: Simplify right side
    6,521x = 109,286,116
  5. Step 5: Solve for x
    x = 109,286,116/6,521
  6. Step 6: Final answer
    x = 16,759.10

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.