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Finding the Third Proportional to 24,135 and 37,140

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Solution

The third proportional to 24,135 and 37,140 is: 57,152.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,135 : 37,140 = 37,140 : x
  2. Step 2: Convert to fraction form
    24,135/37,140 = 37,140/x
  3. Step 3: Cross multiply
    24,135x = 37,140 × 37,140
  4. Step 4: Simplify right side
    24,135x = 1,379,379,600
  5. Step 5: Solve for x
    x = 1,379,379,600/24,135
  6. Step 6: Final answer
    x = 57,152.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.