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Finding the Third Proportional to 14,331.25 and 29,675.25

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Solution

The third proportional to 14,331.25 and 29,675.25 is: 61,447.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,331.25 : 29,675.25 = 29,675.25 : x
  2. Step 2: Convert to fraction form
    14,331.25/29,675.25 = 29,675.25/x
  3. Step 3: Cross multiply
    14,331.25x = 29,675.25 × 29,675.25
  4. Step 4: Simplify right side
    14,331.25x = 880,620,462.56
  5. Step 5: Solve for x
    x = 880,620,462.56/14,331.25
  6. Step 6: Final answer
    x = 61,447.57

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.