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Finding the Third Proportional to 4,818.23 and 7,509.27

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Solution

The third proportional to 4,818.23 and 7,509.27 is: 11,703.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,818.23 : 7,509.27 = 7,509.27 : x
  2. Step 2: Convert to fraction form
    4,818.23/7,509.27 = 7,509.27/x
  3. Step 3: Cross multiply
    4,818.23x = 7,509.27 × 7,509.27
  4. Step 4: Simplify right side
    4,818.23x = 56,389,128.89
  5. Step 5: Solve for x
    x = 56,389,128.89/4,818.23
  6. Step 6: Final answer
    x = 11,703.28

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.