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Finding the Third Proportional to 1,862.63 and 4,397.25

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Solution

The third proportional to 1,862.63 and 4,397.25 is: 10,380.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.63 : 4,397.25 = 4,397.25 : x
  2. Step 2: Convert to fraction form
    1,862.63/4,397.25 = 4,397.25/x
  3. Step 3: Cross multiply
    1,862.63x = 4,397.25 × 4,397.25
  4. Step 4: Simplify right side
    1,862.63x = 19,335,807.56
  5. Step 5: Solve for x
    x = 19,335,807.56/1,862.63
  6. Step 6: Final answer
    x = 10,380.94

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.