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Finding the Third Proportional to 3,640 and 6,506

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Solution

The third proportional to 3,640 and 6,506 is: 11,628.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640 : 6,506 = 6,506 : x
  2. Step 2: Convert to fraction form
    3,640/6,506 = 6,506/x
  3. Step 3: Cross multiply
    3,640x = 6,506 × 6,506
  4. Step 4: Simplify right side
    3,640x = 42,328,036
  5. Step 5: Solve for x
    x = 42,328,036/3,640
  6. Step 6: Final answer
    x = 11,628.58

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.