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Finding the Third Proportional to 1,214.37 and 2,702.11

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Solution

The third proportional to 1,214.37 and 2,702.11 is: 6,012.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.37 : 2,702.11 = 2,702.11 : x
  2. Step 2: Convert to fraction form
    1,214.37/2,702.11 = 2,702.11/x
  3. Step 3: Cross multiply
    1,214.37x = 2,702.11 × 2,702.11
  4. Step 4: Simplify right side
    1,214.37x = 7,301,395.07
  5. Step 5: Solve for x
    x = 7,301,395.07/1,214.37
  6. Step 6: Final answer
    x = 6,012.51

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.