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Finding the Third Proportional to 9,968.75 and 20,970.25

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Solution

The third proportional to 9,968.75 and 20,970.25 is: 44,112.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,968.75 : 20,970.25 = 20,970.25 : x
  2. Step 2: Convert to fraction form
    9,968.75/20,970.25 = 20,970.25/x
  3. Step 3: Cross multiply
    9,968.75x = 20,970.25 × 20,970.25
  4. Step 4: Simplify right side
    9,968.75x = 439,751,385.06
  5. Step 5: Solve for x
    x = 439,751,385.06/9,968.75
  6. Step 6: Final answer
    x = 44,112.99

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.