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Finding the Third Proportional to 28,237 and 59,605

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Solution

The third proportional to 28,237 and 59,605 is: 125,819.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,237 : 59,605 = 59,605 : x
  2. Step 2: Convert to fraction form
    28,237/59,605 = 59,605/x
  3. Step 3: Cross multiply
    28,237x = 59,605 × 59,605
  4. Step 4: Simplify right side
    28,237x = 3,552,756,025
  5. Step 5: Solve for x
    x = 3,552,756,025/28,237
  6. Step 6: Final answer
    x = 125,819.17

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.