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Finding the Third Proportional to 20,056 and 31,786

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Solution

The third proportional to 20,056 and 31,786 is: 50,376.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,056 : 31,786 = 31,786 : x
  2. Step 2: Convert to fraction form
    20,056/31,786 = 31,786/x
  3. Step 3: Cross multiply
    20,056x = 31,786 × 31,786
  4. Step 4: Simplify right side
    20,056x = 1,010,349,796
  5. Step 5: Solve for x
    x = 1,010,349,796/20,056
  6. Step 6: Final answer
    x = 50,376.44

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.