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Finding the Third Proportional to 23,522 and 31,946

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Solution

The third proportional to 23,522 and 31,946 is: 43,386.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,522 : 31,946 = 31,946 : x
  2. Step 2: Convert to fraction form
    23,522/31,946 = 31,946/x
  3. Step 3: Cross multiply
    23,522x = 31,946 × 31,946
  4. Step 4: Simplify right side
    23,522x = 1,020,546,916
  5. Step 5: Solve for x
    x = 1,020,546,916/23,522
  6. Step 6: Final answer
    x = 43,386.91

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.