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Finding the Third Proportional to 1,479.38 and 2,102.81

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Solution

The third proportional to 1,479.38 and 2,102.81 is: 2,988.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,479.38 : 2,102.81 = 2,102.81 : x
  2. Step 2: Convert to fraction form
    1,479.38/2,102.81 = 2,102.81/x
  3. Step 3: Cross multiply
    1,479.38x = 2,102.81 × 2,102.81
  4. Step 4: Simplify right side
    1,479.38x = 4,421,820.41
  5. Step 5: Solve for x
    x = 4,421,820.41/1,479.38
  6. Step 6: Final answer
    x = 2,988.98

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.