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Finding the Third Proportional to 39,819 and 55,810.50

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Solution

The third proportional to 39,819 and 55,810.50 is: 78,224.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,819 : 55,810.50 = 55,810.50 : x
  2. Step 2: Convert to fraction form
    39,819/55,810.50 = 55,810.50/x
  3. Step 3: Cross multiply
    39,819x = 55,810.50 × 55,810.50
  4. Step 4: Simplify right side
    39,819x = 3,114,811,910.25
  5. Step 5: Solve for x
    x = 3,114,811,910.25/39,819
  6. Step 6: Final answer
    x = 78,224.26

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.