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Finding the Third Proportional to 37,214 and 57,559

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Solution

The third proportional to 37,214 and 57,559 is: 89,026.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,214 : 57,559 = 57,559 : x
  2. Step 2: Convert to fraction form
    37,214/57,559 = 57,559/x
  3. Step 3: Cross multiply
    37,214x = 57,559 × 57,559
  4. Step 4: Simplify right side
    37,214x = 3,313,038,481
  5. Step 5: Solve for x
    x = 3,313,038,481/37,214
  6. Step 6: Final answer
    x = 89,026.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.