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Finding the Third Proportional to 25,583 and 55,013.75

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Solution

The third proportional to 25,583 and 55,013.75 is: 118,301.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,583 : 55,013.75 = 55,013.75 : x
  2. Step 2: Convert to fraction form
    25,583/55,013.75 = 55,013.75/x
  3. Step 3: Cross multiply
    25,583x = 55,013.75 × 55,013.75
  4. Step 4: Simplify right side
    25,583x = 3,026,512,689.06
  5. Step 5: Solve for x
    x = 3,026,512,689.06/25,583
  6. Step 6: Final answer
    x = 118,301.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.