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Finding the Third Proportional to 4,322 and 7,724

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Solution

The third proportional to 4,322 and 7,724 is: 13,803.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322 : 7,724 = 7,724 : x
  2. Step 2: Convert to fraction form
    4,322/7,724 = 7,724/x
  3. Step 3: Cross multiply
    4,322x = 7,724 × 7,724
  4. Step 4: Simplify right side
    4,322x = 59,660,176
  5. Step 5: Solve for x
    x = 59,660,176/4,322
  6. Step 6: Final answer
    x = 13,803.84

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.