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Finding the Third Proportional to 37,125.50 and 78,391

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Solution

The third proportional to 37,125.50 and 78,391 is: 165,523.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,125.50 : 78,391 = 78,391 : x
  2. Step 2: Convert to fraction form
    37,125.50/78,391 = 78,391/x
  3. Step 3: Cross multiply
    37,125.50x = 78,391 × 78,391
  4. Step 4: Simplify right side
    37,125.50x = 6,145,148,881
  5. Step 5: Solve for x
    x = 6,145,148,881/37,125.50
  6. Step 6: Final answer
    x = 165,523.67

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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.