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Finding the Third Proportional to 4,145.63 and 9,034.31

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Solution

The third proportional to 4,145.63 and 9,034.31 is: 19,687.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,145.63 : 9,034.31 = 9,034.31 : x
  2. Step 2: Convert to fraction form
    4,145.63/9,034.31 = 9,034.31/x
  3. Step 3: Cross multiply
    4,145.63x = 9,034.31 × 9,034.31
  4. Step 4: Simplify right side
    4,145.63x = 81,618,802.35
  5. Step 5: Solve for x
    x = 81,618,802.35/4,145.63
  6. Step 6: Final answer
    x = 19,687.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.