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Finding the Third Proportional to 1,479.09 and 2,070.84

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Solution

The third proportional to 1,479.09 and 2,070.84 is: 2,899.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,479.09 : 2,070.84 = 2,070.84 : x
  2. Step 2: Convert to fraction form
    1,479.09/2,070.84 = 2,070.84/x
  3. Step 3: Cross multiply
    1,479.09x = 2,070.84 × 2,070.84
  4. Step 4: Simplify right side
    1,479.09x = 4,288,393.84
  5. Step 5: Solve for x
    x = 4,288,393.84/1,479.09
  6. Step 6: Final answer
    x = 2,899.34

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.