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Finding the Third Proportional to 27,738 and 40,630.50

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Solution

The third proportional to 27,738 and 40,630.50 is: 59,515.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,738 : 40,630.50 = 40,630.50 : x
  2. Step 2: Convert to fraction form
    27,738/40,630.50 = 40,630.50/x
  3. Step 3: Cross multiply
    27,738x = 40,630.50 × 40,630.50
  4. Step 4: Simplify right side
    27,738x = 1,650,837,530.25
  5. Step 5: Solve for x
    x = 1,650,837,530.25/27,738
  6. Step 6: Final answer
    x = 59,515.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.