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Finding the Third Proportional to 25,558 and 39,146

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Solution

The third proportional to 25,558 and 39,146 is: 59,958.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,558 : 39,146 = 39,146 : x
  2. Step 2: Convert to fraction form
    25,558/39,146 = 39,146/x
  3. Step 3: Cross multiply
    25,558x = 39,146 × 39,146
  4. Step 4: Simplify right side
    25,558x = 1,532,409,316
  5. Step 5: Solve for x
    x = 1,532,409,316/25,558
  6. Step 6: Final answer
    x = 59,958.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.