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Finding the Third Proportional to 1,577.25 and 3,458.25

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Solution

The third proportional to 1,577.25 and 3,458.25 is: 7,582.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.25 : 3,458.25 = 3,458.25 : x
  2. Step 2: Convert to fraction form
    1,577.25/3,458.25 = 3,458.25/x
  3. Step 3: Cross multiply
    1,577.25x = 3,458.25 × 3,458.25
  4. Step 4: Simplify right side
    1,577.25x = 11,959,493.06
  5. Step 5: Solve for x
    x = 11,959,493.06/1,577.25
  6. Step 6: Final answer
    x = 7,582.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.