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Finding the Third Proportional to 1,026 and 1,532.25

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Solution

The third proportional to 1,026 and 1,532.25 is: 2,288.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026 : 1,532.25 = 1,532.25 : x
  2. Step 2: Convert to fraction form
    1,026/1,532.25 = 1,532.25/x
  3. Step 3: Cross multiply
    1,026x = 1,532.25 × 1,532.25
  4. Step 4: Simplify right side
    1,026x = 2,347,790.06
  5. Step 5: Solve for x
    x = 2,347,790.06/1,026
  6. Step 6: Final answer
    x = 2,288.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.