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Finding the Third Proportional to 13,169 and 31,091

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Solution

The third proportional to 13,169 and 31,091 is: 73,403.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,169 : 31,091 = 31,091 : x
  2. Step 2: Convert to fraction form
    13,169/31,091 = 31,091/x
  3. Step 3: Cross multiply
    13,169x = 31,091 × 31,091
  4. Step 4: Simplify right side
    13,169x = 966,650,281
  5. Step 5: Solve for x
    x = 966,650,281/13,169
  6. Step 6: Final answer
    x = 73,403.47

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.