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Finding the Third Proportional to 880.17 and 1,898.30

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Solution

The third proportional to 880.17 and 1,898.30 is: 4,094.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.17 : 1,898.30 = 1,898.30 : x
  2. Step 2: Convert to fraction form
    880.17/1,898.30 = 1,898.30/x
  3. Step 3: Cross multiply
    880.17x = 1,898.30 × 1,898.30
  4. Step 4: Simplify right side
    880.17x = 3,603,531.03
  5. Step 5: Solve for x
    x = 3,603,531.03/880.17
  6. Step 6: Final answer
    x = 4,094.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.