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Finding the Third Proportional to 28,095 and 37,581

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Solution

The third proportional to 28,095 and 37,581 is: 50,269.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,095 : 37,581 = 37,581 : x
  2. Step 2: Convert to fraction form
    28,095/37,581 = 37,581/x
  3. Step 3: Cross multiply
    28,095x = 37,581 × 37,581
  4. Step 4: Simplify right side
    28,095x = 1,412,331,561
  5. Step 5: Solve for x
    x = 1,412,331,561/28,095
  6. Step 6: Final answer
    x = 50,269.85

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.