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Finding the Third Proportional to 6,801.47 and 14,428.76

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Solution

The third proportional to 6,801.47 and 14,428.76 is: 30,609.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.47 : 14,428.76 = 14,428.76 : x
  2. Step 2: Convert to fraction form
    6,801.47/14,428.76 = 14,428.76/x
  3. Step 3: Cross multiply
    6,801.47x = 14,428.76 × 14,428.76
  4. Step 4: Simplify right side
    6,801.47x = 208,189,052.01
  5. Step 5: Solve for x
    x = 208,189,052.01/6,801.47
  6. Step 6: Final answer
    x = 30,609.43

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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.