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Finding the Third Proportional to 1,530.98 and 2,295.84

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Solution

The third proportional to 1,530.98 and 2,295.84 is: 3,442.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.98 : 2,295.84 = 2,295.84 : x
  2. Step 2: Convert to fraction form
    1,530.98/2,295.84 = 2,295.84/x
  3. Step 3: Cross multiply
    1,530.98x = 2,295.84 × 2,295.84
  4. Step 4: Simplify right side
    1,530.98x = 5,270,898.52
  5. Step 5: Solve for x
    x = 5,270,898.52/1,530.98
  6. Step 6: Final answer
    x = 3,442.82

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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.