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Finding the Third Proportional to 30,865.50 and 47,580.75

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Solution

The third proportional to 30,865.50 and 47,580.75 is: 73,348.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,865.50 : 47,580.75 = 47,580.75 : x
  2. Step 2: Convert to fraction form
    30,865.50/47,580.75 = 47,580.75/x
  3. Step 3: Cross multiply
    30,865.50x = 47,580.75 × 47,580.75
  4. Step 4: Simplify right side
    30,865.50x = 2,263,927,770.56
  5. Step 5: Solve for x
    x = 2,263,927,770.56/30,865.50
  6. Step 6: Final answer
    x = 73,348.16

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.