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Finding the Third Proportional to 6,549 and 10,455

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Solution

The third proportional to 6,549 and 10,455 is: 16,690.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549 : 10,455 = 10,455 : x
  2. Step 2: Convert to fraction form
    6,549/10,455 = 10,455/x
  3. Step 3: Cross multiply
    6,549x = 10,455 × 10,455
  4. Step 4: Simplify right side
    6,549x = 109,307,025
  5. Step 5: Solve for x
    x = 109,307,025/6,549
  6. Step 6: Final answer
    x = 16,690.64

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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.