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Finding the Third Proportional to 21,036.75 and 32,333.25

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Solution

The third proportional to 21,036.75 and 32,333.25 is: 49,695.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,036.75 : 32,333.25 = 32,333.25 : x
  2. Step 2: Convert to fraction form
    21,036.75/32,333.25 = 32,333.25/x
  3. Step 3: Cross multiply
    21,036.75x = 32,333.25 × 32,333.25
  4. Step 4: Simplify right side
    21,036.75x = 1,045,439,055.56
  5. Step 5: Solve for x
    x = 1,045,439,055.56/21,036.75
  6. Step 6: Final answer
    x = 49,695.84

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.