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Finding the Third Proportional to 25,385 and 37,929

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Solution

The third proportional to 25,385 and 37,929 is: 56,671.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,385 : 37,929 = 37,929 : x
  2. Step 2: Convert to fraction form
    25,385/37,929 = 37,929/x
  3. Step 3: Cross multiply
    25,385x = 37,929 × 37,929
  4. Step 4: Simplify right side
    25,385x = 1,438,609,041
  5. Step 5: Solve for x
    x = 1,438,609,041/25,385
  6. Step 6: Final answer
    x = 56,671.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.