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Finding the Third Proportional to 21,989.25 and 42,878.25

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Solution

The third proportional to 21,989.25 and 42,878.25 is: 83,611.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,989.25 : 42,878.25 = 42,878.25 : x
  2. Step 2: Convert to fraction form
    21,989.25/42,878.25 = 42,878.25/x
  3. Step 3: Cross multiply
    21,989.25x = 42,878.25 × 42,878.25
  4. Step 4: Simplify right side
    21,989.25x = 1,838,544,323.06
  5. Step 5: Solve for x
    x = 1,838,544,323.06/21,989.25
  6. Step 6: Final answer
    x = 83,611.05

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.