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Finding the Third Proportional to 9,754 and 21,084

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Solution

The third proportional to 9,754 and 21,084 is: 45,574.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754 : 21,084 = 21,084 : x
  2. Step 2: Convert to fraction form
    9,754/21,084 = 21,084/x
  3. Step 3: Cross multiply
    9,754x = 21,084 × 21,084
  4. Step 4: Simplify right side
    9,754x = 444,535,056
  5. Step 5: Solve for x
    x = 444,535,056/9,754
  6. Step 6: Final answer
    x = 45,574.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.