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Finding the Third Proportional to 13,675.50 and 24,509.25

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Solution

The third proportional to 13,675.50 and 24,509.25 is: 43,925.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,675.50 : 24,509.25 = 24,509.25 : x
  2. Step 2: Convert to fraction form
    13,675.50/24,509.25 = 24,509.25/x
  3. Step 3: Cross multiply
    13,675.50x = 24,509.25 × 24,509.25
  4. Step 4: Simplify right side
    13,675.50x = 600,703,335.56
  5. Step 5: Solve for x
    x = 600,703,335.56/13,675.50
  6. Step 6: Final answer
    x = 43,925.51

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.