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Finding the Third Proportional to 895 and 2,321.50

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Solution

The third proportional to 895 and 2,321.50 is: 6,021.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    895 : 2,321.50 = 2,321.50 : x
  2. Step 2: Convert to fraction form
    895/2,321.50 = 2,321.50/x
  3. Step 3: Cross multiply
    895x = 2,321.50 × 2,321.50
  4. Step 4: Simplify right side
    895x = 5,389,362.25
  5. Step 5: Solve for x
    x = 5,389,362.25/895
  6. Step 6: Final answer
    x = 6,021.63

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Why These Related Problems?

These problems maintain the same ratio (2.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.