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Finding the Third Proportional to 30,808.50 and 44,776.50

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Solution

The third proportional to 30,808.50 and 44,776.50 is: 65,077.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,808.50 : 44,776.50 = 44,776.50 : x
  2. Step 2: Convert to fraction form
    30,808.50/44,776.50 = 44,776.50/x
  3. Step 3: Cross multiply
    30,808.50x = 44,776.50 × 44,776.50
  4. Step 4: Simplify right side
    30,808.50x = 2,004,934,952.25
  5. Step 5: Solve for x
    x = 2,004,934,952.25/30,808.50
  6. Step 6: Final answer
    x = 65,077.33

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.