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Finding the Third Proportional to 2,528 and 2,991.50

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Solution

The third proportional to 2,528 and 2,991.50 is: 3,539.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,528 : 2,991.50 = 2,991.50 : x
  2. Step 2: Convert to fraction form
    2,528/2,991.50 = 2,991.50/x
  3. Step 3: Cross multiply
    2,528x = 2,991.50 × 2,991.50
  4. Step 4: Simplify right side
    2,528x = 8,949,072.25
  5. Step 5: Solve for x
    x = 8,949,072.25/2,528
  6. Step 6: Final answer
    x = 3,539.98

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.