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Finding the Third Proportional to 1,054.90 and 1,585.20

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Solution

The third proportional to 1,054.90 and 1,585.20 is: 2,382.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.90 : 1,585.20 = 1,585.20 : x
  2. Step 2: Convert to fraction form
    1,054.90/1,585.20 = 1,585.20/x
  3. Step 3: Cross multiply
    1,054.90x = 1,585.20 × 1,585.20
  4. Step 4: Simplify right side
    1,054.90x = 2,512,844.18
  5. Step 5: Solve for x
    x = 2,512,844.18/1,054.90
  6. Step 6: Final answer
    x = 2,382.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.