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Finding the Third Proportional to 19,784.50 and 41,776.25

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Solution

The third proportional to 19,784.50 and 41,776.25 is: 88,213.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,784.50 : 41,776.25 = 41,776.25 : x
  2. Step 2: Convert to fraction form
    19,784.50/41,776.25 = 41,776.25/x
  3. Step 3: Cross multiply
    19,784.50x = 41,776.25 × 41,776.25
  4. Step 4: Simplify right side
    19,784.50x = 1,745,255,064.06
  5. Step 5: Solve for x
    x = 1,745,255,064.06/19,784.50
  6. Step 6: Final answer
    x = 88,213.25

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.