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Finding the Third Proportional to 2,417.34 and 3,740.34

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Solution

The third proportional to 2,417.34 and 3,740.34 is: 5,787.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,417.34 : 3,740.34 = 3,740.34 : x
  2. Step 2: Convert to fraction form
    2,417.34/3,740.34 = 3,740.34/x
  3. Step 3: Cross multiply
    2,417.34x = 3,740.34 × 3,740.34
  4. Step 4: Simplify right side
    2,417.34x = 13,990,171.37
  5. Step 5: Solve for x
    x = 13,990,171.37/2,417.34
  6. Step 6: Final answer
    x = 5,787.41

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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.