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Finding the Third Proportional to 6,082.50 and 13,300.50

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Solution

The third proportional to 6,082.50 and 13,300.50 is: 29,083.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.50 : 13,300.50 = 13,300.50 : x
  2. Step 2: Convert to fraction form
    6,082.50/13,300.50 = 13,300.50/x
  3. Step 3: Cross multiply
    6,082.50x = 13,300.50 × 13,300.50
  4. Step 4: Simplify right side
    6,082.50x = 176,903,300.25
  5. Step 5: Solve for x
    x = 176,903,300.25/6,082.50
  6. Step 6: Final answer
    x = 29,083.98

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.