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Finding the Third Proportional to 1,564.13 and 3,418.41

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Solution

The third proportional to 1,564.13 and 3,418.41 is: 7,470.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.13 : 3,418.41 = 3,418.41 : x
  2. Step 2: Convert to fraction form
    1,564.13/3,418.41 = 3,418.41/x
  3. Step 3: Cross multiply
    1,564.13x = 3,418.41 × 3,418.41
  4. Step 4: Simplify right side
    1,564.13x = 11,685,501.29
  5. Step 5: Solve for x
    x = 11,685,501.29/1,564.13
  6. Step 6: Final answer
    x = 7,470.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.