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Finding the Third Proportional to 894.16 and 1,925.02

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Solution

The third proportional to 894.16 and 1,925.02 is: 4,144.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.16 : 1,925.02 = 1,925.02 : x
  2. Step 2: Convert to fraction form
    894.16/1,925.02 = 1,925.02/x
  3. Step 3: Cross multiply
    894.16x = 1,925.02 × 1,925.02
  4. Step 4: Simplify right side
    894.16x = 3,705,685.16
  5. Step 5: Solve for x
    x = 3,705,685.16/894.16
  6. Step 6: Final answer
    x = 4,144.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.