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Finding the Third Proportional to 1,584.56 and 1,707.75

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Solution

The third proportional to 1,584.56 and 1,707.75 is: 1,840.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.56 : 1,707.75 = 1,707.75 : x
  2. Step 2: Convert to fraction form
    1,584.56/1,707.75 = 1,707.75/x
  3. Step 3: Cross multiply
    1,584.56x = 1,707.75 × 1,707.75
  4. Step 4: Simplify right side
    1,584.56x = 2,916,410.06
  5. Step 5: Solve for x
    x = 2,916,410.06/1,584.56
  6. Step 6: Final answer
    x = 1,840.51

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.