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Finding the Third Proportional to 1,444.08 and 2,063.60

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Solution

The third proportional to 1,444.08 and 2,063.60 is: 2,948.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.08 : 2,063.60 = 2,063.60 : x
  2. Step 2: Convert to fraction form
    1,444.08/2,063.60 = 2,063.60/x
  3. Step 3: Cross multiply
    1,444.08x = 2,063.60 × 2,063.60
  4. Step 4: Simplify right side
    1,444.08x = 4,258,451.41
  5. Step 5: Solve for x
    x = 4,258,451.41/1,444.08
  6. Step 6: Final answer
    x = 2,948.91

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.