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Finding the Third Proportional to 18,866.25 and 26,372.25

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Solution

The third proportional to 18,866.25 and 26,372.25 is: 36,864.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,866.25 : 26,372.25 = 26,372.25 : x
  2. Step 2: Convert to fraction form
    18,866.25/26,372.25 = 26,372.25/x
  3. Step 3: Cross multiply
    18,866.25x = 26,372.25 × 26,372.25
  4. Step 4: Simplify right side
    18,866.25x = 695,495,570.06
  5. Step 5: Solve for x
    x = 695,495,570.06/18,866.25
  6. Step 6: Final answer
    x = 36,864.54

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.