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Finding the Third Proportional to 9,512 and 14,639

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Solution

The third proportional to 9,512 and 14,639 is: 22,529.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,512 : 14,639 = 14,639 : x
  2. Step 2: Convert to fraction form
    9,512/14,639 = 14,639/x
  3. Step 3: Cross multiply
    9,512x = 14,639 × 14,639
  4. Step 4: Simplify right side
    9,512x = 214,300,321
  5. Step 5: Solve for x
    x = 214,300,321/9,512
  6. Step 6: Final answer
    x = 22,529.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.