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Finding the Third Proportional to 26,434 and 38,703

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Solution

The third proportional to 26,434 and 38,703 is: 56,666.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,434 : 38,703 = 38,703 : x
  2. Step 2: Convert to fraction form
    26,434/38,703 = 38,703/x
  3. Step 3: Cross multiply
    26,434x = 38,703 × 38,703
  4. Step 4: Simplify right side
    26,434x = 1,497,922,209
  5. Step 5: Solve for x
    x = 1,497,922,209/26,434
  6. Step 6: Final answer
    x = 56,666.50

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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.