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Finding the Third Proportional to 21,792 and 25,345.50

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Solution

The third proportional to 21,792 and 25,345.50 is: 29,478.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,792 : 25,345.50 = 25,345.50 : x
  2. Step 2: Convert to fraction form
    21,792/25,345.50 = 25,345.50/x
  3. Step 3: Cross multiply
    21,792x = 25,345.50 × 25,345.50
  4. Step 4: Simplify right side
    21,792x = 642,394,370.25
  5. Step 5: Solve for x
    x = 642,394,370.25/21,792
  6. Step 6: Final answer
    x = 29,478.45

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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.