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Finding the Third Proportional to 14,145.75 and 22,394.25

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Solution

The third proportional to 14,145.75 and 22,394.25 is: 35,452.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,145.75 : 22,394.25 = 22,394.25 : x
  2. Step 2: Convert to fraction form
    14,145.75/22,394.25 = 22,394.25/x
  3. Step 3: Cross multiply
    14,145.75x = 22,394.25 × 22,394.25
  4. Step 4: Simplify right side
    14,145.75x = 501,502,433.06
  5. Step 5: Solve for x
    x = 501,502,433.06/14,145.75
  6. Step 6: Final answer
    x = 35,452.52

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.