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Finding the Third Proportional to 897.50 and 1,901.56

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Solution

The third proportional to 897.50 and 1,901.56 is: 4,028.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.50 : 1,901.56 = 1,901.56 : x
  2. Step 2: Convert to fraction form
    897.50/1,901.56 = 1,901.56/x
  3. Step 3: Cross multiply
    897.50x = 1,901.56 × 1,901.56
  4. Step 4: Simplify right side
    897.50x = 3,615,939.94
  5. Step 5: Solve for x
    x = 3,615,939.94/897.50
  6. Step 6: Final answer
    x = 4,028.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.