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Finding the Third Proportional to 10,366 and 16,537

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Solution

The third proportional to 10,366 and 16,537 is: 26,381.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366 : 16,537 = 16,537 : x
  2. Step 2: Convert to fraction form
    10,366/16,537 = 16,537/x
  3. Step 3: Cross multiply
    10,366x = 16,537 × 16,537
  4. Step 4: Simplify right side
    10,366x = 273,472,369
  5. Step 5: Solve for x
    x = 273,472,369/10,366
  6. Step 6: Final answer
    x = 26,381.67

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.