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Finding the Third Proportional to 4,953.97 and 10,862.38

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Solution

The third proportional to 4,953.97 and 10,862.38 is: 23,817.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,953.97 : 10,862.38 = 10,862.38 : x
  2. Step 2: Convert to fraction form
    4,953.97/10,862.38 = 10,862.38/x
  3. Step 3: Cross multiply
    4,953.97x = 10,862.38 × 10,862.38
  4. Step 4: Simplify right side
    4,953.97x = 117,991,402.80
  5. Step 5: Solve for x
    x = 117,991,402.80/4,953.97
  6. Step 6: Final answer
    x = 23,817.53

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.