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Finding the Third Proportional to 9,617 and 21,321

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Solution

The third proportional to 9,617 and 21,321 is: 47,268.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617 : 21,321 = 21,321 : x
  2. Step 2: Convert to fraction form
    9,617/21,321 = 21,321/x
  3. Step 3: Cross multiply
    9,617x = 21,321 × 21,321
  4. Step 4: Simplify right side
    9,617x = 454,585,041
  5. Step 5: Solve for x
    x = 454,585,041/9,617
  6. Step 6: Final answer
    x = 47,268.90

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.