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Finding the Third Proportional to 12,683.25 and 27,897.75

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Solution

The third proportional to 12,683.25 and 27,897.75 is: 61,363.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,683.25 : 27,897.75 = 27,897.75 : x
  2. Step 2: Convert to fraction form
    12,683.25/27,897.75 = 27,897.75/x
  3. Step 3: Cross multiply
    12,683.25x = 27,897.75 × 27,897.75
  4. Step 4: Simplify right side
    12,683.25x = 778,284,455.06
  5. Step 5: Solve for x
    x = 778,284,455.06/12,683.25
  6. Step 6: Final answer
    x = 61,363.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.