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Finding the Third Proportional to 1,079 and 2,360.50

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Solution

The third proportional to 1,079 and 2,360.50 is: 5,164.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079 : 2,360.50 = 2,360.50 : x
  2. Step 2: Convert to fraction form
    1,079/2,360.50 = 2,360.50/x
  3. Step 3: Cross multiply
    1,079x = 2,360.50 × 2,360.50
  4. Step 4: Simplify right side
    1,079x = 5,571,960.25
  5. Step 5: Solve for x
    x = 5,571,960.25/1,079
  6. Step 6: Final answer
    x = 5,164.00

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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.