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Finding the Third Proportional to 2,538.75 and 2,802.75

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Solution

The third proportional to 2,538.75 and 2,802.75 is: 3,094.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.75 : 2,802.75 = 2,802.75 : x
  2. Step 2: Convert to fraction form
    2,538.75/2,802.75 = 2,802.75/x
  3. Step 3: Cross multiply
    2,538.75x = 2,802.75 × 2,802.75
  4. Step 4: Simplify right side
    2,538.75x = 7,855,407.56
  5. Step 5: Solve for x
    x = 7,855,407.56/2,538.75
  6. Step 6: Final answer
    x = 3,094.20

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.