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Finding the Third Proportional to 6,592 and 10,808

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Solution

The third proportional to 6,592 and 10,808 is: 17,720.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592 : 10,808 = 10,808 : x
  2. Step 2: Convert to fraction form
    6,592/10,808 = 10,808/x
  3. Step 3: Cross multiply
    6,592x = 10,808 × 10,808
  4. Step 4: Simplify right side
    6,592x = 116,812,864
  5. Step 5: Solve for x
    x = 116,812,864/6,592
  6. Step 6: Final answer
    x = 17,720.40

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.