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Finding the Third Proportional to 1,021.15 and 1,527.66

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Solution

The third proportional to 1,021.15 and 1,527.66 is: 2,285.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.15 : 1,527.66 = 1,527.66 : x
  2. Step 2: Convert to fraction form
    1,021.15/1,527.66 = 1,527.66/x
  3. Step 3: Cross multiply
    1,021.15x = 1,527.66 × 1,527.66
  4. Step 4: Simplify right side
    1,021.15x = 2,333,751.52
  5. Step 5: Solve for x
    x = 2,333,751.52/1,021.15
  6. Step 6: Final answer
    x = 2,285.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.