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Finding the Third Proportional to 4,107.38 and 9,014.63

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Solution

The third proportional to 4,107.38 and 9,014.63 is: 19,784.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107.38 : 9,014.63 = 9,014.63 : x
  2. Step 2: Convert to fraction form
    4,107.38/9,014.63 = 9,014.63/x
  3. Step 3: Cross multiply
    4,107.38x = 9,014.63 × 9,014.63
  4. Step 4: Simplify right side
    4,107.38x = 81,263,463.89
  5. Step 5: Solve for x
    x = 81,263,463.89/4,107.38
  6. Step 6: Final answer
    x = 19,784.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.