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Finding the Third Proportional to 3,506 and 6,454

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Solution

The third proportional to 3,506 and 6,454 is: 11,880.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506 : 6,454 = 6,454 : x
  2. Step 2: Convert to fraction form
    3,506/6,454 = 6,454/x
  3. Step 3: Cross multiply
    3,506x = 6,454 × 6,454
  4. Step 4: Simplify right side
    3,506x = 41,654,116
  5. Step 5: Solve for x
    x = 41,654,116/3,506
  6. Step 6: Final answer
    x = 11,880.81

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.