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Finding the Third Proportional to 34,514 and 52,043

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Solution

The third proportional to 34,514 and 52,043 is: 78,474.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,514 : 52,043 = 52,043 : x
  2. Step 2: Convert to fraction form
    34,514/52,043 = 52,043/x
  3. Step 3: Cross multiply
    34,514x = 52,043 × 52,043
  4. Step 4: Simplify right side
    34,514x = 2,708,473,849
  5. Step 5: Solve for x
    x = 2,708,473,849/34,514
  6. Step 6: Final answer
    x = 78,474.64

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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.