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Finding the Third Proportional to 2,381.06 and 5,106.38

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Solution

The third proportional to 2,381.06 and 5,106.38 is: 10,951.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.06 : 5,106.38 = 5,106.38 : x
  2. Step 2: Convert to fraction form
    2,381.06/5,106.38 = 5,106.38/x
  3. Step 3: Cross multiply
    2,381.06x = 5,106.38 × 5,106.38
  4. Step 4: Simplify right side
    2,381.06x = 26,075,065.64
  5. Step 5: Solve for x
    x = 26,075,065.64/2,381.06
  6. Step 6: Final answer
    x = 10,951.02

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.