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Finding the Third Proportional to 1,851.75 and 4,433.63

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Solution

The third proportional to 1,851.75 and 4,433.63 is: 10,615.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851.75 : 4,433.63 = 4,433.63 : x
  2. Step 2: Convert to fraction form
    1,851.75/4,433.63 = 4,433.63/x
  3. Step 3: Cross multiply
    1,851.75x = 4,433.63 × 4,433.63
  4. Step 4: Simplify right side
    1,851.75x = 19,657,030.64
  5. Step 5: Solve for x
    x = 19,657,030.64/1,851.75
  6. Step 6: Final answer
    x = 10,615.38

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.