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Finding the Third Proportional to 2,937.94 and 4,554.56

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Solution

The third proportional to 2,937.94 and 4,554.56 is: 7,060.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,937.94 : 4,554.56 = 4,554.56 : x
  2. Step 2: Convert to fraction form
    2,937.94/4,554.56 = 4,554.56/x
  3. Step 3: Cross multiply
    2,937.94x = 4,554.56 × 4,554.56
  4. Step 4: Simplify right side
    2,937.94x = 20,744,039.57
  5. Step 5: Solve for x
    x = 20,744,039.57/2,937.94
  6. Step 6: Final answer
    x = 7,060.75

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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.