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Finding the Third Proportional to 855.19 and 1,577.06

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Solution

The third proportional to 855.19 and 1,577.06 is: 2,908.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.19 : 1,577.06 = 1,577.06 : x
  2. Step 2: Convert to fraction form
    855.19/1,577.06 = 1,577.06/x
  3. Step 3: Cross multiply
    855.19x = 1,577.06 × 1,577.06
  4. Step 4: Simplify right side
    855.19x = 2,487,126.13
  5. Step 5: Solve for x
    x = 2,487,126.13/855.19
  6. Step 6: Final answer
    x = 2,908.28

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.