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Finding the Third Proportional to 10,754 and 16,535

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Solution

The third proportional to 10,754 and 16,535 is: 25,423.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,754 : 16,535 = 16,535 : x
  2. Step 2: Convert to fraction form
    10,754/16,535 = 16,535/x
  3. Step 3: Cross multiply
    10,754x = 16,535 × 16,535
  4. Step 4: Simplify right side
    10,754x = 273,406,225
  5. Step 5: Solve for x
    x = 273,406,225/10,754
  6. Step 6: Final answer
    x = 25,423.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.