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Finding the Third Proportional to 27,381 and 43,531.50

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Solution

The third proportional to 27,381 and 43,531.50 is: 69,208.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,381 : 43,531.50 = 43,531.50 : x
  2. Step 2: Convert to fraction form
    27,381/43,531.50 = 43,531.50/x
  3. Step 3: Cross multiply
    27,381x = 43,531.50 × 43,531.50
  4. Step 4: Simplify right side
    27,381x = 1,894,991,492.25
  5. Step 5: Solve for x
    x = 1,894,991,492.25/27,381
  6. Step 6: Final answer
    x = 69,208.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.