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Finding the Third Proportional to 10,257 and 15,685

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Solution

The third proportional to 10,257 and 15,685 is: 23,985.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,257 : 15,685 = 15,685 : x
  2. Step 2: Convert to fraction form
    10,257/15,685 = 15,685/x
  3. Step 3: Cross multiply
    10,257x = 15,685 × 15,685
  4. Step 4: Simplify right side
    10,257x = 246,019,225
  5. Step 5: Solve for x
    x = 246,019,225/10,257
  6. Step 6: Final answer
    x = 23,985.50

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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.