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Finding the Third Proportional to 23,076 and 31,792

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Solution

The third proportional to 23,076 and 31,792 is: 43,800.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,076 : 31,792 = 31,792 : x
  2. Step 2: Convert to fraction form
    23,076/31,792 = 31,792/x
  3. Step 3: Cross multiply
    23,076x = 31,792 × 31,792
  4. Step 4: Simplify right side
    23,076x = 1,010,731,264
  5. Step 5: Solve for x
    x = 1,010,731,264/23,076
  6. Step 6: Final answer
    x = 43,800.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.