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Finding the Third Proportional to 5,750.63 and 8,575.31

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Solution

The third proportional to 5,750.63 and 8,575.31 is: 12,787.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,750.63 : 8,575.31 = 8,575.31 : x
  2. Step 2: Convert to fraction form
    5,750.63/8,575.31 = 8,575.31/x
  3. Step 3: Cross multiply
    5,750.63x = 8,575.31 × 8,575.31
  4. Step 4: Simplify right side
    5,750.63x = 73,535,984.47
  5. Step 5: Solve for x
    x = 73,535,984.47/5,750.63
  6. Step 6: Final answer
    x = 12,787.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.