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Finding the Third Proportional to 4,726.50 and 7,255

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Solution

The third proportional to 4,726.50 and 7,255 is: 11,136.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,726.50 : 7,255 = 7,255 : x
  2. Step 2: Convert to fraction form
    4,726.50/7,255 = 7,255/x
  3. Step 3: Cross multiply
    4,726.50x = 7,255 × 7,255
  4. Step 4: Simplify right side
    4,726.50x = 52,635,025
  5. Step 5: Solve for x
    x = 52,635,025/4,726.50
  6. Step 6: Final answer
    x = 11,136.15

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.