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Finding the Third Proportional to 933.08 and 2,041.29

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Solution

The third proportional to 933.08 and 2,041.29 is: 4,465.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.08 : 2,041.29 = 2,041.29 : x
  2. Step 2: Convert to fraction form
    933.08/2,041.29 = 2,041.29/x
  3. Step 3: Cross multiply
    933.08x = 2,041.29 × 2,041.29
  4. Step 4: Simplify right side
    933.08x = 4,166,884.96
  5. Step 5: Solve for x
    x = 4,166,884.96/933.08
  6. Step 6: Final answer
    x = 4,465.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.