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Finding the Third Proportional to 4,137.75 and 9,095.63

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Solution

The third proportional to 4,137.75 and 9,095.63 is: 19,994.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.75 : 9,095.63 = 9,095.63 : x
  2. Step 2: Convert to fraction form
    4,137.75/9,095.63 = 9,095.63/x
  3. Step 3: Cross multiply
    4,137.75x = 9,095.63 × 9,095.63
  4. Step 4: Simplify right side
    4,137.75x = 82,730,394.14
  5. Step 5: Solve for x
    x = 82,730,394.14/4,137.75
  6. Step 6: Final answer
    x = 19,994.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.