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Finding the Third Proportional to 17,946.56 and 25,148.81

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Solution

The third proportional to 17,946.56 and 25,148.81 is: 35,241.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,946.56 : 25,148.81 = 25,148.81 : x
  2. Step 2: Convert to fraction form
    17,946.56/25,148.81 = 25,148.81/x
  3. Step 3: Cross multiply
    17,946.56x = 25,148.81 × 25,148.81
  4. Step 4: Simplify right side
    17,946.56x = 632,462,770.16
  5. Step 5: Solve for x
    x = 632,462,770.16/17,946.56
  6. Step 6: Final answer
    x = 35,241.44

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.