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Finding the Third Proportional to 19,928.25 and 29,507.63

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Solution

The third proportional to 19,928.25 and 29,507.63 is: 43,691.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,928.25 : 29,507.63 = 29,507.63 : x
  2. Step 2: Convert to fraction form
    19,928.25/29,507.63 = 29,507.63/x
  3. Step 3: Cross multiply
    19,928.25x = 29,507.63 × 29,507.63
  4. Step 4: Simplify right side
    19,928.25x = 870,699,933.14
  5. Step 5: Solve for x
    x = 870,699,933.14/19,928.25
  6. Step 6: Final answer
    x = 43,691.74

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.