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Finding the Third Proportional to 1,532.99 and 3,271.01

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Solution

The third proportional to 1,532.99 and 3,271.01 is: 6,979.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.99 : 3,271.01 = 3,271.01 : x
  2. Step 2: Convert to fraction form
    1,532.99/3,271.01 = 3,271.01/x
  3. Step 3: Cross multiply
    1,532.99x = 3,271.01 × 3,271.01
  4. Step 4: Simplify right side
    1,532.99x = 10,699,492.11
  5. Step 5: Solve for x
    x = 10,699,492.11/1,532.99
  6. Step 6: Final answer
    x = 6,979.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.