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Finding the Third Proportional to 5,835.75 and 9,309.75

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Solution

The third proportional to 5,835.75 and 9,309.75 is: 14,851.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,835.75 : 9,309.75 = 9,309.75 : x
  2. Step 2: Convert to fraction form
    5,835.75/9,309.75 = 9,309.75/x
  3. Step 3: Cross multiply
    5,835.75x = 9,309.75 × 9,309.75
  4. Step 4: Simplify right side
    5,835.75x = 86,671,445.06
  5. Step 5: Solve for x
    x = 86,671,445.06/5,835.75
  6. Step 6: Final answer
    x = 14,851.81

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.