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Finding the Third Proportional to 28,775.50 and 59,549

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Solution

The third proportional to 28,775.50 and 59,549 is: 123,232.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,775.50 : 59,549 = 59,549 : x
  2. Step 2: Convert to fraction form
    28,775.50/59,549 = 59,549/x
  3. Step 3: Cross multiply
    28,775.50x = 59,549 × 59,549
  4. Step 4: Simplify right side
    28,775.50x = 3,546,083,401
  5. Step 5: Solve for x
    x = 3,546,083,401/28,775.50
  6. Step 6: Final answer
    x = 123,232.73

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.