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Finding the Third Proportional to 19,556.50 and 41,537

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Solution

The third proportional to 19,556.50 and 41,537 is: 88,222.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,556.50 : 41,537 = 41,537 : x
  2. Step 2: Convert to fraction form
    19,556.50/41,537 = 41,537/x
  3. Step 3: Cross multiply
    19,556.50x = 41,537 × 41,537
  4. Step 4: Simplify right side
    19,556.50x = 1,725,322,369
  5. Step 5: Solve for x
    x = 1,725,322,369/19,556.50
  6. Step 6: Final answer
    x = 88,222.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.