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Finding the Third Proportional to 6,534 and 14,346

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Solution

The third proportional to 6,534 and 14,346 is: 31,497.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534 : 14,346 = 14,346 : x
  2. Step 2: Convert to fraction form
    6,534/14,346 = 14,346/x
  3. Step 3: Cross multiply
    6,534x = 14,346 × 14,346
  4. Step 4: Simplify right side
    6,534x = 205,807,716
  5. Step 5: Solve for x
    x = 205,807,716/6,534
  6. Step 6: Final answer
    x = 31,497.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.