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Finding the Third Proportional to 43,866 and 62,518.50

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Solution

The third proportional to 43,866 and 62,518.50 is: 89,102.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,866 : 62,518.50 = 62,518.50 : x
  2. Step 2: Convert to fraction form
    43,866/62,518.50 = 62,518.50/x
  3. Step 3: Cross multiply
    43,866x = 62,518.50 × 62,518.50
  4. Step 4: Simplify right side
    43,866x = 3,908,562,842.25
  5. Step 5: Solve for x
    x = 3,908,562,842.25/43,866
  6. Step 6: Final answer
    x = 89,102.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.