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Finding the Third Proportional to 1,083 and 1,585.50

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Solution

The third proportional to 1,083 and 1,585.50 is: 2,321.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083 : 1,585.50 = 1,585.50 : x
  2. Step 2: Convert to fraction form
    1,083/1,585.50 = 1,585.50/x
  3. Step 3: Cross multiply
    1,083x = 1,585.50 × 1,585.50
  4. Step 4: Simplify right side
    1,083x = 2,513,810.25
  5. Step 5: Solve for x
    x = 2,513,810.25/1,083
  6. Step 6: Final answer
    x = 2,321.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.