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Finding the Third Proportional to 1,586.25 and 2,370.23

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Solution

The third proportional to 1,586.25 and 2,370.23 is: 3,541.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.25 : 2,370.23 = 2,370.23 : x
  2. Step 2: Convert to fraction form
    1,586.25/2,370.23 = 2,370.23/x
  3. Step 3: Cross multiply
    1,586.25x = 2,370.23 × 2,370.23
  4. Step 4: Simplify right side
    1,586.25x = 5,618,010.99
  5. Step 5: Solve for x
    x = 5,618,010.99/1,586.25
  6. Step 6: Final answer
    x = 3,541.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.