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Finding the Third Proportional to 12,909.38 and 17,420.06

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Solution

The third proportional to 12,909.38 and 17,420.06 is: 23,506.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,909.38 : 17,420.06 = 17,420.06 : x
  2. Step 2: Convert to fraction form
    12,909.38/17,420.06 = 17,420.06/x
  3. Step 3: Cross multiply
    12,909.38x = 17,420.06 × 17,420.06
  4. Step 4: Simplify right side
    12,909.38x = 303,458,577.50
  5. Step 5: Solve for x
    x = 303,458,577.50/12,909.38
  6. Step 6: Final answer
    x = 23,506.84

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.