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Finding the Third Proportional to 13,447.69 and 28,433.53

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Solution

The third proportional to 13,447.69 and 28,433.53 is: 60,119.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,447.69 : 28,433.53 = 28,433.53 : x
  2. Step 2: Convert to fraction form
    13,447.69/28,433.53 = 28,433.53/x
  3. Step 3: Cross multiply
    13,447.69x = 28,433.53 × 28,433.53
  4. Step 4: Simplify right side
    13,447.69x = 808,465,699.34
  5. Step 5: Solve for x
    x = 808,465,699.34/13,447.69
  6. Step 6: Final answer
    x = 60,119.31

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.