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Finding the Third Proportional to 4,194.75 and 9,143.63

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Solution

The third proportional to 4,194.75 and 9,143.63 is: 19,931.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.75 : 9,143.63 = 9,143.63 : x
  2. Step 2: Convert to fraction form
    4,194.75/9,143.63 = 9,143.63/x
  3. Step 3: Cross multiply
    4,194.75x = 9,143.63 × 9,143.63
  4. Step 4: Simplify right side
    4,194.75x = 83,605,878.14
  5. Step 5: Solve for x
    x = 83,605,878.14/4,194.75
  6. Step 6: Final answer
    x = 19,931.08

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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.