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Finding the Third Proportional to 4,216.13 and 9,191.63

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Solution

The third proportional to 4,216.13 and 9,191.63 is: 20,038.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216.13 : 9,191.63 = 9,191.63 : x
  2. Step 2: Convert to fraction form
    4,216.13/9,191.63 = 9,191.63/x
  3. Step 3: Cross multiply
    4,216.13x = 9,191.63 × 9,191.63
  4. Step 4: Simplify right side
    4,216.13x = 84,485,970.14
  5. Step 5: Solve for x
    x = 84,485,970.14/4,216.13
  6. Step 6: Final answer
    x = 20,038.77

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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.