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Finding the Third Proportional to 898.75 and 1,853.75

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Solution

The third proportional to 898.75 and 1,853.75 is: 3,823.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.75 : 1,853.75 = 1,853.75 : x
  2. Step 2: Convert to fraction form
    898.75/1,853.75 = 1,853.75/x
  3. Step 3: Cross multiply
    898.75x = 1,853.75 × 1,853.75
  4. Step 4: Simplify right side
    898.75x = 3,436,389.06
  5. Step 5: Solve for x
    x = 3,436,389.06/898.75
  6. Step 6: Final answer
    x = 3,823.52

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.