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Finding the Third Proportional to 5,897.25 and 12,726

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Solution

The third proportional to 5,897.25 and 12,726 is: 27,462.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.25 : 12,726 = 12,726 : x
  2. Step 2: Convert to fraction form
    5,897.25/12,726 = 12,726/x
  3. Step 3: Cross multiply
    5,897.25x = 12,726 × 12,726
  4. Step 4: Simplify right side
    5,897.25x = 161,951,076
  5. Step 5: Solve for x
    x = 161,951,076/5,897.25
  6. Step 6: Final answer
    x = 27,462.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.