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Finding the Third Proportional to 9,620 and 15,034

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Solution

The third proportional to 9,620 and 15,034 is: 23,494.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,620 : 15,034 = 15,034 : x
  2. Step 2: Convert to fraction form
    9,620/15,034 = 15,034/x
  3. Step 3: Cross multiply
    9,620x = 15,034 × 15,034
  4. Step 4: Simplify right side
    9,620x = 226,021,156
  5. Step 5: Solve for x
    x = 226,021,156/9,620
  6. Step 6: Final answer
    x = 23,494.92

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.