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Finding the Third Proportional to 9,153 and 18,629

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Solution

The third proportional to 9,153 and 18,629 is: 37,915.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,153 : 18,629 = 18,629 : x
  2. Step 2: Convert to fraction form
    9,153/18,629 = 18,629/x
  3. Step 3: Cross multiply
    9,153x = 18,629 × 18,629
  4. Step 4: Simplify right side
    9,153x = 347,039,641
  5. Step 5: Solve for x
    x = 347,039,641/9,153
  6. Step 6: Final answer
    x = 37,915.40

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.