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Finding the Third Proportional to 34,278 and 51,504

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Solution

The third proportional to 34,278 and 51,504 is: 77,386.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,278 : 51,504 = 51,504 : x
  2. Step 2: Convert to fraction form
    34,278/51,504 = 51,504/x
  3. Step 3: Cross multiply
    34,278x = 51,504 × 51,504
  4. Step 4: Simplify right side
    34,278x = 2,652,662,016
  5. Step 5: Solve for x
    x = 2,652,662,016/34,278
  6. Step 6: Final answer
    x = 77,386.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.