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Finding the Third Proportional to 2,526 and 2,980.50

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Solution

The third proportional to 2,526 and 2,980.50 is: 3,516.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,526 : 2,980.50 = 2,980.50 : x
  2. Step 2: Convert to fraction form
    2,526/2,980.50 = 2,980.50/x
  3. Step 3: Cross multiply
    2,526x = 2,980.50 × 2,980.50
  4. Step 4: Simplify right side
    2,526x = 8,883,380.25
  5. Step 5: Solve for x
    x = 8,883,380.25/2,526
  6. Step 6: Final answer
    x = 3,516.78

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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.