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Finding the Third Proportional to 6,446.47 and 13,669.02

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Solution

The third proportional to 6,446.47 and 13,669.02 is: 28,983.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.47 : 13,669.02 = 13,669.02 : x
  2. Step 2: Convert to fraction form
    6,446.47/13,669.02 = 13,669.02/x
  3. Step 3: Cross multiply
    6,446.47x = 13,669.02 × 13,669.02
  4. Step 4: Simplify right side
    6,446.47x = 186,842,024.87
  5. Step 5: Solve for x
    x = 186,842,024.87/6,446.47
  6. Step 6: Final answer
    x = 28,983.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.