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Finding the Third Proportional to 14,268.66 and 21,346.03

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Solution

The third proportional to 14,268.66 and 21,346.03 is: 31,933.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,268.66 : 21,346.03 = 21,346.03 : x
  2. Step 2: Convert to fraction form
    14,268.66/21,346.03 = 21,346.03/x
  3. Step 3: Cross multiply
    14,268.66x = 21,346.03 × 21,346.03
  4. Step 4: Simplify right side
    14,268.66x = 455,653,050.13
  5. Step 5: Solve for x
    x = 455,653,050.13/14,268.66
  6. Step 6: Final answer
    x = 31,933.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.