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Finding the Third Proportional to 34,110 and 47,763

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Solution

The third proportional to 34,110 and 47,763 is: 66,880.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,110 : 47,763 = 47,763 : x
  2. Step 2: Convert to fraction form
    34,110/47,763 = 47,763/x
  3. Step 3: Cross multiply
    34,110x = 47,763 × 47,763
  4. Step 4: Simplify right side
    34,110x = 2,281,304,169
  5. Step 5: Solve for x
    x = 2,281,304,169/34,110
  6. Step 6: Final answer
    x = 66,880.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.