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Finding the Third Proportional to 25,139 and 35,139

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Solution

The third proportional to 25,139 and 35,139 is: 49,116.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,139 : 35,139 = 35,139 : x
  2. Step 2: Convert to fraction form
    25,139/35,139 = 35,139/x
  3. Step 3: Cross multiply
    25,139x = 35,139 × 35,139
  4. Step 4: Simplify right side
    25,139x = 1,234,749,321
  5. Step 5: Solve for x
    x = 1,234,749,321/25,139
  6. Step 6: Final answer
    x = 49,116.88

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.