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Finding the Third Proportional to 1,427.63 and 2,360.81

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Solution

The third proportional to 1,427.63 and 2,360.81 is: 3,903.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.63 : 2,360.81 = 2,360.81 : x
  2. Step 2: Convert to fraction form
    1,427.63/2,360.81 = 2,360.81/x
  3. Step 3: Cross multiply
    1,427.63x = 2,360.81 × 2,360.81
  4. Step 4: Simplify right side
    1,427.63x = 5,573,435.66
  5. Step 5: Solve for x
    x = 5,573,435.66/1,427.63
  6. Step 6: Final answer
    x = 3,903.99

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.