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Finding the Third Proportional to 9,602 and 14,704

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Solution

The third proportional to 9,602 and 14,704 is: 22,516.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602 : 14,704 = 14,704 : x
  2. Step 2: Convert to fraction form
    9,602/14,704 = 14,704/x
  3. Step 3: Cross multiply
    9,602x = 14,704 × 14,704
  4. Step 4: Simplify right side
    9,602x = 216,207,616
  5. Step 5: Solve for x
    x = 216,207,616/9,602
  6. Step 6: Final answer
    x = 22,516.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.