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Finding the Third Proportional to 51,632 and 77,880

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Solution

The third proportional to 51,632 and 77,880 is: 117,471.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,632 : 77,880 = 77,880 : x
  2. Step 2: Convert to fraction form
    51,632/77,880 = 77,880/x
  3. Step 3: Cross multiply
    51,632x = 77,880 × 77,880
  4. Step 4: Simplify right side
    51,632x = 6,065,294,400
  5. Step 5: Solve for x
    x = 6,065,294,400/51,632
  6. Step 6: Final answer
    x = 117,471.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.