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Finding the Third Proportional to 4,597.03 and 9,922.92

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Solution

The third proportional to 4,597.03 and 9,922.92 is: 21,419.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.03 : 9,922.92 = 9,922.92 : x
  2. Step 2: Convert to fraction form
    4,597.03/9,922.92 = 9,922.92/x
  3. Step 3: Cross multiply
    4,597.03x = 9,922.92 × 9,922.92
  4. Step 4: Simplify right side
    4,597.03x = 98,464,378.54
  5. Step 5: Solve for x
    x = 98,464,378.54/4,597.03
  6. Step 6: Final answer
    x = 21,419.12

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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.