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Finding the Third Proportional to 1,572.19 and 3,243.94

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Solution

The third proportional to 1,572.19 and 3,243.94 is: 6,693.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.19 : 3,243.94 = 3,243.94 : x
  2. Step 2: Convert to fraction form
    1,572.19/3,243.94 = 3,243.94/x
  3. Step 3: Cross multiply
    1,572.19x = 3,243.94 × 3,243.94
  4. Step 4: Simplify right side
    1,572.19x = 10,523,130.50
  5. Step 5: Solve for x
    x = 10,523,130.50/1,572.19
  6. Step 6: Final answer
    x = 6,693.31

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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.