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Finding the Third Proportional to 36,948 and 56,880

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Solution

The third proportional to 36,948 and 56,880 is: 87,564.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,948 : 56,880 = 56,880 : x
  2. Step 2: Convert to fraction form
    36,948/56,880 = 56,880/x
  3. Step 3: Cross multiply
    36,948x = 56,880 × 56,880
  4. Step 4: Simplify right side
    36,948x = 3,235,334,400
  5. Step 5: Solve for x
    x = 3,235,334,400/36,948
  6. Step 6: Final answer
    x = 87,564.53

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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.