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Finding the Third Proportional to 4,505 and 9,840.25

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Solution

The third proportional to 4,505 and 9,840.25 is: 21,494.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,505 : 9,840.25 = 9,840.25 : x
  2. Step 2: Convert to fraction form
    4,505/9,840.25 = 9,840.25/x
  3. Step 3: Cross multiply
    4,505x = 9,840.25 × 9,840.25
  4. Step 4: Simplify right side
    4,505x = 96,830,520.06
  5. Step 5: Solve for x
    x = 96,830,520.06/4,505
  6. Step 6: Final answer
    x = 21,494.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.