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Finding the Third Proportional to 25,715 and 52,146

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Solution

The third proportional to 25,715 and 52,146 is: 105,743.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,715 : 52,146 = 52,146 : x
  2. Step 2: Convert to fraction form
    25,715/52,146 = 52,146/x
  3. Step 3: Cross multiply
    25,715x = 52,146 × 52,146
  4. Step 4: Simplify right side
    25,715x = 2,719,205,316
  5. Step 5: Solve for x
    x = 2,719,205,316/25,715
  6. Step 6: Final answer
    x = 105,743.94

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.