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Finding the Third Proportional to 9,724 and 15,072

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Solution

The third proportional to 9,724 and 15,072 is: 23,361.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,724 : 15,072 = 15,072 : x
  2. Step 2: Convert to fraction form
    9,724/15,072 = 15,072/x
  3. Step 3: Cross multiply
    9,724x = 15,072 × 15,072
  4. Step 4: Simplify right side
    9,724x = 227,165,184
  5. Step 5: Solve for x
    x = 227,165,184/9,724
  6. Step 6: Final answer
    x = 23,361.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.