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Finding the Third Proportional to 15,764 and 34,252

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Solution

The third proportional to 15,764 and 34,252 is: 74,422.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,764 : 34,252 = 34,252 : x
  2. Step 2: Convert to fraction form
    15,764/34,252 = 34,252/x
  3. Step 3: Cross multiply
    15,764x = 34,252 × 34,252
  4. Step 4: Simplify right side
    15,764x = 1,173,199,504
  5. Step 5: Solve for x
    x = 1,173,199,504/15,764
  6. Step 6: Final answer
    x = 74,422.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.