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Finding the Third Proportional to 2,046 and 3,358.50

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Solution

The third proportional to 2,046 and 3,358.50 is: 5,512.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046 : 3,358.50 = 3,358.50 : x
  2. Step 2: Convert to fraction form
    2,046/3,358.50 = 3,358.50/x
  3. Step 3: Cross multiply
    2,046x = 3,358.50 × 3,358.50
  4. Step 4: Simplify right side
    2,046x = 11,279,522.25
  5. Step 5: Solve for x
    x = 11,279,522.25/2,046
  6. Step 6: Final answer
    x = 5,512.96

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.