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Finding the Third Proportional to 15,960 and 26,507.50

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Solution

The third proportional to 15,960 and 26,507.50 is: 44,025.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,960 : 26,507.50 = 26,507.50 : x
  2. Step 2: Convert to fraction form
    15,960/26,507.50 = 26,507.50/x
  3. Step 3: Cross multiply
    15,960x = 26,507.50 × 26,507.50
  4. Step 4: Simplify right side
    15,960x = 702,647,556.25
  5. Step 5: Solve for x
    x = 702,647,556.25/15,960
  6. Step 6: Final answer
    x = 44,025.54

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.