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Finding the Third Proportional to 1,585.20 and 3,271.01

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Solution

The third proportional to 1,585.20 and 3,271.01 is: 6,749.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.20 : 3,271.01 = 3,271.01 : x
  2. Step 2: Convert to fraction form
    1,585.20/3,271.01 = 3,271.01/x
  3. Step 3: Cross multiply
    1,585.20x = 3,271.01 × 3,271.01
  4. Step 4: Simplify right side
    1,585.20x = 10,699,492.11
  5. Step 5: Solve for x
    x = 10,699,492.11/1,585.20
  6. Step 6: Final answer
    x = 6,749.64

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.