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Finding the Third Proportional to 25,042 and 35,013

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Solution

The third proportional to 25,042 and 35,013 is: 48,954.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,042 : 35,013 = 35,013 : x
  2. Step 2: Convert to fraction form
    25,042/35,013 = 35,013/x
  3. Step 3: Cross multiply
    25,042x = 35,013 × 35,013
  4. Step 4: Simplify right side
    25,042x = 1,225,910,169
  5. Step 5: Solve for x
    x = 1,225,910,169/25,042
  6. Step 6: Final answer
    x = 48,954.16

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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.