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Finding the Third Proportional to 6,810 and 14,502

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Solution

The third proportional to 6,810 and 14,502 is: 30,882.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810 : 14,502 = 14,502 : x
  2. Step 2: Convert to fraction form
    6,810/14,502 = 14,502/x
  3. Step 3: Cross multiply
    6,810x = 14,502 × 14,502
  4. Step 4: Simplify right side
    6,810x = 210,308,004
  5. Step 5: Solve for x
    x = 210,308,004/6,810
  6. Step 6: Final answer
    x = 30,882.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.