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Finding the Third Proportional to 1,571.48 and 3,291.05

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Solution

The third proportional to 1,571.48 and 3,291.05 is: 6,892.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.48 : 3,291.05 = 3,291.05 : x
  2. Step 2: Convert to fraction form
    1,571.48/3,291.05 = 3,291.05/x
  3. Step 3: Cross multiply
    1,571.48x = 3,291.05 × 3,291.05
  4. Step 4: Simplify right side
    1,571.48x = 10,830,989.53
  5. Step 5: Solve for x
    x = 10,830,989.53/1,571.48
  6. Step 6: Final answer
    x = 6,892.20

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.