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Finding the Third Proportional to 5,801.63 and 6,586.31

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Solution

The third proportional to 5,801.63 and 6,586.31 is: 7,477.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801.63 : 6,586.31 = 6,586.31 : x
  2. Step 2: Convert to fraction form
    5,801.63/6,586.31 = 6,586.31/x
  3. Step 3: Cross multiply
    5,801.63x = 6,586.31 × 6,586.31
  4. Step 4: Simplify right side
    5,801.63x = 43,379,512.35
  5. Step 5: Solve for x
    x = 43,379,512.35/5,801.63
  6. Step 6: Final answer
    x = 7,477.13

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.