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Finding the Third Proportional to 14,933.11 and 21,699.14

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Solution

The third proportional to 14,933.11 and 21,699.14 is: 31,530.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,933.11 : 21,699.14 = 21,699.14 : x
  2. Step 2: Convert to fraction form
    14,933.11/21,699.14 = 21,699.14/x
  3. Step 3: Cross multiply
    14,933.11x = 21,699.14 × 21,699.14
  4. Step 4: Simplify right side
    14,933.11x = 470,852,703.86
  5. Step 5: Solve for x
    x = 470,852,703.86/14,933.11
  6. Step 6: Final answer
    x = 31,530.79

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.