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Finding the Third Proportional to 1,573.59 and 3,248.44

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Solution

The third proportional to 1,573.59 and 3,248.44 is: 6,705.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.59 : 3,248.44 = 3,248.44 : x
  2. Step 2: Convert to fraction form
    1,573.59/3,248.44 = 3,248.44/x
  3. Step 3: Cross multiply
    1,573.59x = 3,248.44 × 3,248.44
  4. Step 4: Simplify right side
    1,573.59x = 10,552,346.19
  5. Step 5: Solve for x
    x = 10,552,346.19/1,573.59
  6. Step 6: Final answer
    x = 6,705.89

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.