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Finding the Third Proportional to 895.69 and 1,384.03

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Solution

The third proportional to 895.69 and 1,384.03 is: 2,138.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.69 : 1,384.03 = 1,384.03 : x
  2. Step 2: Convert to fraction form
    895.69/1,384.03 = 1,384.03/x
  3. Step 3: Cross multiply
    895.69x = 1,384.03 × 1,384.03
  4. Step 4: Simplify right side
    895.69x = 1,915,542.50
  5. Step 5: Solve for x
    x = 1,915,542.50/895.69
  6. Step 6: Final answer
    x = 2,138.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.