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Finding the Third Proportional to 1,496.81 and 2,152.41

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Solution

The third proportional to 1,496.81 and 2,152.41 is: 3,095.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.81 : 2,152.41 = 2,152.41 : x
  2. Step 2: Convert to fraction form
    1,496.81/2,152.41 = 2,152.41/x
  3. Step 3: Cross multiply
    1,496.81x = 2,152.41 × 2,152.41
  4. Step 4: Simplify right side
    1,496.81x = 4,632,852.67
  5. Step 5: Solve for x
    x = 4,632,852.67/1,496.81
  6. Step 6: Final answer
    x = 3,095.15

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.