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Finding the Third Proportional to 9,735 and 18,984

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Solution

The third proportional to 9,735 and 18,984 is: 37,020.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735 : 18,984 = 18,984 : x
  2. Step 2: Convert to fraction form
    9,735/18,984 = 18,984/x
  3. Step 3: Cross multiply
    9,735x = 18,984 × 18,984
  4. Step 4: Simplify right side
    9,735x = 360,392,256
  5. Step 5: Solve for x
    x = 360,392,256/9,735
  6. Step 6: Final answer
    x = 37,020.26

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.