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Finding the Third Proportional to 13,667.63 and 20,430

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Solution

The third proportional to 13,667.63 and 20,430 is: 30,538.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,667.63 : 20,430 = 20,430 : x
  2. Step 2: Convert to fraction form
    13,667.63/20,430 = 20,430/x
  3. Step 3: Cross multiply
    13,667.63x = 20,430 × 20,430
  4. Step 4: Simplify right side
    13,667.63x = 417,384,900
  5. Step 5: Solve for x
    x = 417,384,900/13,667.63
  6. Step 6: Final answer
    x = 30,538.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.