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Finding the Third Proportional to 5,801.77 and 8,846.93

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Solution

The third proportional to 5,801.77 and 8,846.93 is: 13,490.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801.77 : 8,846.93 = 8,846.93 : x
  2. Step 2: Convert to fraction form
    5,801.77/8,846.93 = 8,846.93/x
  3. Step 3: Cross multiply
    5,801.77x = 8,846.93 × 8,846.93
  4. Step 4: Simplify right side
    5,801.77x = 78,268,164.90
  5. Step 5: Solve for x
    x = 78,268,164.90/5,801.77
  6. Step 6: Final answer
    x = 13,490.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.