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Finding the Third Proportional to 4,058.44 and 5,823.56

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Solution

The third proportional to 4,058.44 and 5,823.56 is: 8,356.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,058.44 : 5,823.56 = 5,823.56 : x
  2. Step 2: Convert to fraction form
    4,058.44/5,823.56 = 5,823.56/x
  3. Step 3: Cross multiply
    4,058.44x = 5,823.56 × 5,823.56
  4. Step 4: Simplify right side
    4,058.44x = 33,913,880.19
  5. Step 5: Solve for x
    x = 33,913,880.19/4,058.44
  6. Step 6: Final answer
    x = 8,356.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.