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Finding the Third Proportional to 19,767 and 31,290

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Solution

The third proportional to 19,767 and 31,290 is: 49,530.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,767 : 31,290 = 31,290 : x
  2. Step 2: Convert to fraction form
    19,767/31,290 = 31,290/x
  3. Step 3: Cross multiply
    19,767x = 31,290 × 31,290
  4. Step 4: Simplify right side
    19,767x = 979,064,100
  5. Step 5: Solve for x
    x = 979,064,100/19,767
  6. Step 6: Final answer
    x = 49,530.23

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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.