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Finding the Third Proportional to 39,913 and 58,114.50

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Solution

The third proportional to 39,913 and 58,114.50 is: 84,616.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,913 : 58,114.50 = 58,114.50 : x
  2. Step 2: Convert to fraction form
    39,913/58,114.50 = 58,114.50/x
  3. Step 3: Cross multiply
    39,913x = 58,114.50 × 58,114.50
  4. Step 4: Simplify right side
    39,913x = 3,377,295,110.25
  5. Step 5: Solve for x
    x = 3,377,295,110.25/39,913
  6. Step 6: Final answer
    x = 84,616.42

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.