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Finding the Third Proportional to 5,802.75 and 8,728.88

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Solution

The third proportional to 5,802.75 and 8,728.88 is: 13,130.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.75 : 8,728.88 = 8,728.88 : x
  2. Step 2: Convert to fraction form
    5,802.75/8,728.88 = 8,728.88/x
  3. Step 3: Cross multiply
    5,802.75x = 8,728.88 × 8,728.88
  4. Step 4: Simplify right side
    5,802.75x = 76,193,258.77
  5. Step 5: Solve for x
    x = 76,193,258.77/5,802.75
  6. Step 6: Final answer
    x = 13,130.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.