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Finding the Third Proportional to 10,390 and 22,685

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Solution

The third proportional to 10,390 and 22,685 is: 49,529.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,390 : 22,685 = 22,685 : x
  2. Step 2: Convert to fraction form
    10,390/22,685 = 22,685/x
  3. Step 3: Cross multiply
    10,390x = 22,685 × 22,685
  4. Step 4: Simplify right side
    10,390x = 514,609,225
  5. Step 5: Solve for x
    x = 514,609,225/10,390
  6. Step 6: Final answer
    x = 49,529.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.