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Finding the Third Proportional to 9,574 and 21,034

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Solution

The third proportional to 9,574 and 21,034 is: 46,211.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574 : 21,034 = 21,034 : x
  2. Step 2: Convert to fraction form
    9,574/21,034 = 21,034/x
  3. Step 3: Cross multiply
    9,574x = 21,034 × 21,034
  4. Step 4: Simplify right side
    9,574x = 442,429,156
  5. Step 5: Solve for x
    x = 442,429,156/9,574
  6. Step 6: Final answer
    x = 46,211.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.