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Finding the Third Proportional to 1,528.31 and 2,076.19

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Solution

The third proportional to 1,528.31 and 2,076.19 is: 2,820.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.31 : 2,076.19 = 2,076.19 : x
  2. Step 2: Convert to fraction form
    1,528.31/2,076.19 = 2,076.19/x
  3. Step 3: Cross multiply
    1,528.31x = 2,076.19 × 2,076.19
  4. Step 4: Simplify right side
    1,528.31x = 4,310,554.54
  5. Step 5: Solve for x
    x = 4,310,554.54/1,528.31
  6. Step 6: Final answer
    x = 2,820.47

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.