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Finding the Third Proportional to 10,165 and 14,506

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Solution

The third proportional to 10,165 and 14,506 is: 20,700.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,165 : 14,506 = 14,506 : x
  2. Step 2: Convert to fraction form
    10,165/14,506 = 14,506/x
  3. Step 3: Cross multiply
    10,165x = 14,506 × 14,506
  4. Step 4: Simplify right side
    10,165x = 210,424,036
  5. Step 5: Solve for x
    x = 210,424,036/10,165
  6. Step 6: Final answer
    x = 20,700.84

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.