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Finding the Third Proportional to 26,829 and 38,695.50

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Solution

The third proportional to 26,829 and 38,695.50 is: 55,810.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,829 : 38,695.50 = 38,695.50 : x
  2. Step 2: Convert to fraction form
    26,829/38,695.50 = 38,695.50/x
  3. Step 3: Cross multiply
    26,829x = 38,695.50 × 38,695.50
  4. Step 4: Simplify right side
    26,829x = 1,497,341,720.25
  5. Step 5: Solve for x
    x = 1,497,341,720.25/26,829
  6. Step 6: Final answer
    x = 55,810.57

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.