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Finding the Third Proportional to 9,783 and 21,161.25

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Solution

The third proportional to 9,783 and 21,161.25 is: 45,773.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783 : 21,161.25 = 21,161.25 : x
  2. Step 2: Convert to fraction form
    9,783/21,161.25 = 21,161.25/x
  3. Step 3: Cross multiply
    9,783x = 21,161.25 × 21,161.25
  4. Step 4: Simplify right side
    9,783x = 447,798,501.56
  5. Step 5: Solve for x
    x = 447,798,501.56/9,783
  6. Step 6: Final answer
    x = 45,773.13

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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.