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Finding the Third Proportional to 1,205.51 and 1,865.53

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Solution

The third proportional to 1,205.51 and 1,865.53 is: 2,886.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.51 : 1,865.53 = 1,865.53 : x
  2. Step 2: Convert to fraction form
    1,205.51/1,865.53 = 1,865.53/x
  3. Step 3: Cross multiply
    1,205.51x = 1,865.53 × 1,865.53
  4. Step 4: Simplify right side
    1,205.51x = 3,480,206.84
  5. Step 5: Solve for x
    x = 3,480,206.84/1,205.51
  6. Step 6: Final answer
    x = 2,886.92

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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.