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Finding the Third Proportional to 6,000.75 and 8,977.50

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Solution

The third proportional to 6,000.75 and 8,977.50 is: 13,430.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,000.75 : 8,977.50 = 8,977.50 : x
  2. Step 2: Convert to fraction form
    6,000.75/8,977.50 = 8,977.50/x
  3. Step 3: Cross multiply
    6,000.75x = 8,977.50 × 8,977.50
  4. Step 4: Simplify right side
    6,000.75x = 80,595,506.25
  5. Step 5: Solve for x
    x = 80,595,506.25/6,000.75
  6. Step 6: Final answer
    x = 13,430.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.