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Finding the Third Proportional to 2,381.63 and 3,606.19

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Solution

The third proportional to 2,381.63 and 3,606.19 is: 5,460.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.63 : 3,606.19 = 3,606.19 : x
  2. Step 2: Convert to fraction form
    2,381.63/3,606.19 = 3,606.19/x
  3. Step 3: Cross multiply
    2,381.63x = 3,606.19 × 3,606.19
  4. Step 4: Simplify right side
    2,381.63x = 13,004,588.29
  5. Step 5: Solve for x
    x = 13,004,588.29/2,381.63
  6. Step 6: Final answer
    x = 5,460.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.