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Finding the Third Proportional to 22,364 and 31,290

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Solution

The third proportional to 22,364 and 31,290 is: 43,778.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,364 : 31,290 = 31,290 : x
  2. Step 2: Convert to fraction form
    22,364/31,290 = 31,290/x
  3. Step 3: Cross multiply
    22,364x = 31,290 × 31,290
  4. Step 4: Simplify right side
    22,364x = 979,064,100
  5. Step 5: Solve for x
    x = 979,064,100/22,364
  6. Step 6: Final answer
    x = 43,778.58

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.