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Finding the Third Proportional to 9,968.06 and 19,205.02

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Solution

The third proportional to 9,968.06 and 19,205.02 is: 37,001.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,968.06 : 19,205.02 = 19,205.02 : x
  2. Step 2: Convert to fraction form
    9,968.06/19,205.02 = 19,205.02/x
  3. Step 3: Cross multiply
    9,968.06x = 19,205.02 × 19,205.02
  4. Step 4: Simplify right side
    9,968.06x = 368,832,625.16
  5. Step 5: Solve for x
    x = 368,832,625.16/9,968.06
  6. Step 6: Final answer
    x = 37,001.44

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.