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Finding the Third Proportional to 19,676 and 31,169

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Solution

The third proportional to 19,676 and 31,169 is: 49,375.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,676 : 31,169 = 31,169 : x
  2. Step 2: Convert to fraction form
    19,676/31,169 = 31,169/x
  3. Step 3: Cross multiply
    19,676x = 31,169 × 31,169
  4. Step 4: Simplify right side
    19,676x = 971,506,561
  5. Step 5: Solve for x
    x = 971,506,561/19,676
  6. Step 6: Final answer
    x = 49,375.21

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Why These Related Problems?

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