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Finding the Third Proportional to 1,585.25 and 2,464.25

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Solution

The third proportional to 1,585.25 and 2,464.25 is: 3,830.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.25 : 2,464.25 = 2,464.25 : x
  2. Step 2: Convert to fraction form
    1,585.25/2,464.25 = 2,464.25/x
  3. Step 3: Cross multiply
    1,585.25x = 2,464.25 × 2,464.25
  4. Step 4: Simplify right side
    1,585.25x = 6,072,528.06
  5. Step 5: Solve for x
    x = 6,072,528.06/1,585.25
  6. Step 6: Final answer
    x = 3,830.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.