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Finding the Third Proportional to 28,219 and 37,459

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Solution

The third proportional to 28,219 and 37,459 is: 49,724.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,219 : 37,459 = 37,459 : x
  2. Step 2: Convert to fraction form
    28,219/37,459 = 37,459/x
  3. Step 3: Cross multiply
    28,219x = 37,459 × 37,459
  4. Step 4: Simplify right side
    28,219x = 1,403,176,681
  5. Step 5: Solve for x
    x = 1,403,176,681/28,219
  6. Step 6: Final answer
    x = 49,724.54

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.