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Finding the Third Proportional to 889.88 and 1,897.88

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Solution

The third proportional to 889.88 and 1,897.88 is: 4,047.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.88 : 1,897.88 = 1,897.88 : x
  2. Step 2: Convert to fraction form
    889.88/1,897.88 = 1,897.88/x
  3. Step 3: Cross multiply
    889.88x = 1,897.88 × 1,897.88
  4. Step 4: Simplify right side
    889.88x = 3,601,929.52
  5. Step 5: Solve for x
    x = 3,601,929.52/889.88
  6. Step 6: Final answer
    x = 4,047.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.