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Finding the Third Proportional to 30,506.50 and 44,769.75

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Solution

The third proportional to 30,506.50 and 44,769.75 is: 65,701.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,506.50 : 44,769.75 = 44,769.75 : x
  2. Step 2: Convert to fraction form
    30,506.50/44,769.75 = 44,769.75/x
  3. Step 3: Cross multiply
    30,506.50x = 44,769.75 × 44,769.75
  4. Step 4: Simplify right side
    30,506.50x = 2,004,330,515.06
  5. Step 5: Solve for x
    x = 2,004,330,515.06/30,506.50
  6. Step 6: Final answer
    x = 65,701.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.