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Finding the Third Proportional to 6,506 and 13,396

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Solution

The third proportional to 6,506 and 13,396 is: 27,582.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506 : 13,396 = 13,396 : x
  2. Step 2: Convert to fraction form
    6,506/13,396 = 13,396/x
  3. Step 3: Cross multiply
    6,506x = 13,396 × 13,396
  4. Step 4: Simplify right side
    6,506x = 179,452,816
  5. Step 5: Solve for x
    x = 179,452,816/6,506
  6. Step 6: Final answer
    x = 27,582.66

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.