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Finding the Third Proportional to 2,095.03 and 2,398.78

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Solution

The third proportional to 2,095.03 and 2,398.78 is: 2,746.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.03 : 2,398.78 = 2,398.78 : x
  2. Step 2: Convert to fraction form
    2,095.03/2,398.78 = 2,398.78/x
  3. Step 3: Cross multiply
    2,095.03x = 2,398.78 × 2,398.78
  4. Step 4: Simplify right side
    2,095.03x = 5,754,151.49
  5. Step 5: Solve for x
    x = 5,754,151.49/2,095.03
  6. Step 6: Final answer
    x = 2,746.57

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.