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Finding the Third Proportional to 9,394.31 and 14,628.94

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Solution

The third proportional to 9,394.31 and 14,628.94 is: 22,780.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,394.31 : 14,628.94 = 14,628.94 : x
  2. Step 2: Convert to fraction form
    9,394.31/14,628.94 = 14,628.94/x
  3. Step 3: Cross multiply
    9,394.31x = 14,628.94 × 14,628.94
  4. Step 4: Simplify right side
    9,394.31x = 214,005,812.38
  5. Step 5: Solve for x
    x = 214,005,812.38/9,394.31
  6. Step 6: Final answer
    x = 22,780.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.