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Finding the Third Proportional to 29,540 and 40,827

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Solution

The third proportional to 29,540 and 40,827 is: 56,426.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,540 : 40,827 = 40,827 : x
  2. Step 2: Convert to fraction form
    29,540/40,827 = 40,827/x
  3. Step 3: Cross multiply
    29,540x = 40,827 × 40,827
  4. Step 4: Simplify right side
    29,540x = 1,666,843,929
  5. Step 5: Solve for x
    x = 1,666,843,929/29,540
  6. Step 6: Final answer
    x = 56,426.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.