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Finding the Third Proportional to 28,246 and 37,498

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Solution

The third proportional to 28,246 and 37,498 is: 49,780.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,246 : 37,498 = 37,498 : x
  2. Step 2: Convert to fraction form
    28,246/37,498 = 37,498/x
  3. Step 3: Cross multiply
    28,246x = 37,498 × 37,498
  4. Step 4: Simplify right side
    28,246x = 1,406,100,004
  5. Step 5: Solve for x
    x = 1,406,100,004/28,246
  6. Step 6: Final answer
    x = 49,780.50

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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.