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Finding the Third Proportional to 5,077.50 and 6,004.50

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Solution

The third proportional to 5,077.50 and 6,004.50 is: 7,100.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,077.50 : 6,004.50 = 6,004.50 : x
  2. Step 2: Convert to fraction form
    5,077.50/6,004.50 = 6,004.50/x
  3. Step 3: Cross multiply
    5,077.50x = 6,004.50 × 6,004.50
  4. Step 4: Simplify right side
    5,077.50x = 36,054,020.25
  5. Step 5: Solve for x
    x = 36,054,020.25/5,077.50
  6. Step 6: Final answer
    x = 7,100.74

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.