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Finding the Third Proportional to 4,452.47 and 9,798.47

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Solution

The third proportional to 4,452.47 and 9,798.47 is: 21,563.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,452.47 : 9,798.47 = 9,798.47 : x
  2. Step 2: Convert to fraction form
    4,452.47/9,798.47 = 9,798.47/x
  3. Step 3: Cross multiply
    4,452.47x = 9,798.47 × 9,798.47
  4. Step 4: Simplify right side
    4,452.47x = 96,009,989.84
  5. Step 5: Solve for x
    x = 96,009,989.84/4,452.47
  6. Step 6: Final answer
    x = 21,563.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.