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Finding the Third Proportional to 13,214.25 and 19,325.25

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Solution

The third proportional to 13,214.25 and 19,325.25 is: 28,262.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,214.25 : 19,325.25 = 19,325.25 : x
  2. Step 2: Convert to fraction form
    13,214.25/19,325.25 = 19,325.25/x
  3. Step 3: Cross multiply
    13,214.25x = 19,325.25 × 19,325.25
  4. Step 4: Simplify right side
    13,214.25x = 373,465,287.56
  5. Step 5: Solve for x
    x = 373,465,287.56/13,214.25
  6. Step 6: Final answer
    x = 28,262.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.