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Finding the Third Proportional to 9,754 and 15,450

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Solution

The third proportional to 9,754 and 15,450 is: 24,472.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754 : 15,450 = 15,450 : x
  2. Step 2: Convert to fraction form
    9,754/15,450 = 15,450/x
  3. Step 3: Cross multiply
    9,754x = 15,450 × 15,450
  4. Step 4: Simplify right side
    9,754x = 238,702,500
  5. Step 5: Solve for x
    x = 238,702,500/9,754
  6. Step 6: Final answer
    x = 24,472.27

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.