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Finding the Third Proportional to 2,103 and 2,812.50

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Solution

The third proportional to 2,103 and 2,812.50 is: 3,761.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103 : 2,812.50 = 2,812.50 : x
  2. Step 2: Convert to fraction form
    2,103/2,812.50 = 2,812.50/x
  3. Step 3: Cross multiply
    2,103x = 2,812.50 × 2,812.50
  4. Step 4: Simplify right side
    2,103x = 7,910,156.25
  5. Step 5: Solve for x
    x = 7,910,156.25/2,103
  6. Step 6: Final answer
    x = 3,761.37

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.