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Finding the Third Proportional to 2,010 and 3,111.94

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Solution

The third proportional to 2,010 and 3,111.94 is: 4,817.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010 : 3,111.94 = 3,111.94 : x
  2. Step 2: Convert to fraction form
    2,010/3,111.94 = 3,111.94/x
  3. Step 3: Cross multiply
    2,010x = 3,111.94 × 3,111.94
  4. Step 4: Simplify right side
    2,010x = 9,684,155.00
  5. Step 5: Solve for x
    x = 9,684,155.00/2,010
  6. Step 6: Final answer
    x = 4,817.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.