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Finding the Third Proportional to 10,401.75 and 15,735.75

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Solution

The third proportional to 10,401.75 and 15,735.75 is: 23,805.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,401.75 : 15,735.75 = 15,735.75 : x
  2. Step 2: Convert to fraction form
    10,401.75/15,735.75 = 15,735.75/x
  3. Step 3: Cross multiply
    10,401.75x = 15,735.75 × 15,735.75
  4. Step 4: Simplify right side
    10,401.75x = 247,613,828.06
  5. Step 5: Solve for x
    x = 247,613,828.06/10,401.75
  6. Step 6: Final answer
    x = 23,805.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.