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Finding the Third Proportional to 30,141 and 40,257

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Solution

The third proportional to 30,141 and 40,257 is: 53,768.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,141 : 40,257 = 40,257 : x
  2. Step 2: Convert to fraction form
    30,141/40,257 = 40,257/x
  3. Step 3: Cross multiply
    30,141x = 40,257 × 40,257
  4. Step 4: Simplify right side
    30,141x = 1,620,626,049
  5. Step 5: Solve for x
    x = 1,620,626,049/30,141
  6. Step 6: Final answer
    x = 53,768.16

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.