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Finding the Third Proportional to 19,501.25 and 42,222.25

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Solution

The third proportional to 19,501.25 and 42,222.25 is: 91,415.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,501.25 : 42,222.25 = 42,222.25 : x
  2. Step 2: Convert to fraction form
    19,501.25/42,222.25 = 42,222.25/x
  3. Step 3: Cross multiply
    19,501.25x = 42,222.25 × 42,222.25
  4. Step 4: Simplify right side
    19,501.25x = 1,782,718,395.06
  5. Step 5: Solve for x
    x = 1,782,718,395.06/19,501.25
  6. Step 6: Final answer
    x = 91,415.60

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.