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Finding the Third Proportional to 797.63 and 1,886.06

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Solution

The third proportional to 797.63 and 1,886.06 is: 4,459.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.63 : 1,886.06 = 1,886.06 : x
  2. Step 2: Convert to fraction form
    797.63/1,886.06 = 1,886.06/x
  3. Step 3: Cross multiply
    797.63x = 1,886.06 × 1,886.06
  4. Step 4: Simplify right side
    797.63x = 3,557,231.75
  5. Step 5: Solve for x
    x = 3,557,231.75/797.63
  6. Step 6: Final answer
    x = 4,459.78

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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.