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Finding the Third Proportional to 4,605 and 9,945.75

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Solution

The third proportional to 4,605 and 9,945.75 is: 21,480.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605 : 9,945.75 = 9,945.75 : x
  2. Step 2: Convert to fraction form
    4,605/9,945.75 = 9,945.75/x
  3. Step 3: Cross multiply
    4,605x = 9,945.75 × 9,945.75
  4. Step 4: Simplify right side
    4,605x = 98,917,943.06
  5. Step 5: Solve for x
    x = 98,917,943.06/4,605
  6. Step 6: Final answer
    x = 21,480.55

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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.