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Finding the Third Proportional to 1,485.84 and 2,295.84

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Solution

The third proportional to 1,485.84 and 2,295.84 is: 3,547.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.84 : 2,295.84 = 2,295.84 : x
  2. Step 2: Convert to fraction form
    1,485.84/2,295.84 = 2,295.84/x
  3. Step 3: Cross multiply
    1,485.84x = 2,295.84 × 2,295.84
  4. Step 4: Simplify right side
    1,485.84x = 5,270,898.52
  5. Step 5: Solve for x
    x = 5,270,898.52/1,485.84
  6. Step 6: Final answer
    x = 3,547.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.