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Finding the Third Proportional to 3,650 and 6,526

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Solution

The third proportional to 3,650 and 6,526 is: 11,668.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,650 : 6,526 = 6,526 : x
  2. Step 2: Convert to fraction form
    3,650/6,526 = 6,526/x
  3. Step 3: Cross multiply
    3,650x = 6,526 × 6,526
  4. Step 4: Simplify right side
    3,650x = 42,588,676
  5. Step 5: Solve for x
    x = 42,588,676/3,650
  6. Step 6: Final answer
    x = 11,668.13

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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.