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Finding the Third Proportional to 25,946 and 40,257

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Solution

The third proportional to 25,946 and 40,257 is: 62,461.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,946 : 40,257 = 40,257 : x
  2. Step 2: Convert to fraction form
    25,946/40,257 = 40,257/x
  3. Step 3: Cross multiply
    25,946x = 40,257 × 40,257
  4. Step 4: Simplify right side
    25,946x = 1,620,626,049
  5. Step 5: Solve for x
    x = 1,620,626,049/25,946
  6. Step 6: Final answer
    x = 62,461.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.