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Finding the Third Proportional to 1,558.16 and 2,394.90

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Solution

The third proportional to 1,558.16 and 2,394.90 is: 3,680.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.16 : 2,394.90 = 2,394.90 : x
  2. Step 2: Convert to fraction form
    1,558.16/2,394.90 = 2,394.90/x
  3. Step 3: Cross multiply
    1,558.16x = 2,394.90 × 2,394.90
  4. Step 4: Simplify right side
    1,558.16x = 5,735,551.54
  5. Step 5: Solve for x
    x = 5,735,551.54/1,558.16
  6. Step 6: Final answer
    x = 3,680.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.