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Finding the Third Proportional to 1,573.80 and 2,448.04

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Solution

The third proportional to 1,573.80 and 2,448.04 is: 3,807.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.80 : 2,448.04 = 2,448.04 : x
  2. Step 2: Convert to fraction form
    1,573.80/2,448.04 = 2,448.04/x
  3. Step 3: Cross multiply
    1,573.80x = 2,448.04 × 2,448.04
  4. Step 4: Simplify right side
    1,573.80x = 5,992,876.13
  5. Step 5: Solve for x
    x = 5,992,876.13/1,573.80
  6. Step 6: Final answer
    x = 3,807.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.