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Finding the Third Proportional to 1,852.88 and 4,001.63

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Solution

The third proportional to 1,852.88 and 4,001.63 is: 8,642.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.88 : 4,001.63 = 4,001.63 : x
  2. Step 2: Convert to fraction form
    1,852.88/4,001.63 = 4,001.63/x
  3. Step 3: Cross multiply
    1,852.88x = 4,001.63 × 4,001.63
  4. Step 4: Simplify right side
    1,852.88x = 16,013,002.64
  5. Step 5: Solve for x
    x = 16,013,002.64/1,852.88
  6. Step 6: Final answer
    x = 8,642.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.