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Finding the Third Proportional to 26,102.25 and 28,208.25

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Solution

The third proportional to 26,102.25 and 28,208.25 is: 30,484.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,102.25 : 28,208.25 = 28,208.25 : x
  2. Step 2: Convert to fraction form
    26,102.25/28,208.25 = 28,208.25/x
  3. Step 3: Cross multiply
    26,102.25x = 28,208.25 × 28,208.25
  4. Step 4: Simplify right side
    26,102.25x = 795,705,368.06
  5. Step 5: Solve for x
    x = 795,705,368.06/26,102.25
  6. Step 6: Final answer
    x = 30,484.17

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.