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Finding the Third Proportional to 6,670.75 and 15,441.63

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Solution

The third proportional to 6,670.75 and 15,441.63 is: 35,744.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,670.75 : 15,441.63 = 15,441.63 : x
  2. Step 2: Convert to fraction form
    6,670.75/15,441.63 = 15,441.63/x
  3. Step 3: Cross multiply
    6,670.75x = 15,441.63 × 15,441.63
  4. Step 4: Simplify right side
    6,670.75x = 238,443,782.64
  5. Step 5: Solve for x
    x = 238,443,782.64/6,670.75
  6. Step 6: Final answer
    x = 35,744.67

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.