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Finding the Third Proportional to 4,024 and 9,732

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Solution

The third proportional to 4,024 and 9,732 is: 23,536.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,024 : 9,732 = 9,732 : x
  2. Step 2: Convert to fraction form
    4,024/9,732 = 9,732/x
  3. Step 3: Cross multiply
    4,024x = 9,732 × 9,732
  4. Step 4: Simplify right side
    4,024x = 94,711,824
  5. Step 5: Solve for x
    x = 94,711,824/4,024
  6. Step 6: Final answer
    x = 23,536.74

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.