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Finding the Third Proportional to 36,098 and 56,640

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Solution

The third proportional to 36,098 and 56,640 is: 88,871.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,098 : 56,640 = 56,640 : x
  2. Step 2: Convert to fraction form
    36,098/56,640 = 56,640/x
  3. Step 3: Cross multiply
    36,098x = 56,640 × 56,640
  4. Step 4: Simplify right side
    36,098x = 3,208,089,600
  5. Step 5: Solve for x
    x = 3,208,089,600/36,098
  6. Step 6: Final answer
    x = 88,871.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.