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Finding the Third Proportional to 30,144.75 and 47,769.75

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Solution

The third proportional to 30,144.75 and 47,769.75 is: 75,699.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,144.75 : 47,769.75 = 47,769.75 : x
  2. Step 2: Convert to fraction form
    30,144.75/47,769.75 = 47,769.75/x
  3. Step 3: Cross multiply
    30,144.75x = 47,769.75 × 47,769.75
  4. Step 4: Simplify right side
    30,144.75x = 2,281,949,015.06
  5. Step 5: Solve for x
    x = 2,281,949,015.06/30,144.75
  6. Step 6: Final answer
    x = 75,699.72

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.