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Finding the Third Proportional to 16,569 and 25,639

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Solution

The third proportional to 16,569 and 25,639 is: 39,673.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,569 : 25,639 = 25,639 : x
  2. Step 2: Convert to fraction form
    16,569/25,639 = 25,639/x
  3. Step 3: Cross multiply
    16,569x = 25,639 × 25,639
  4. Step 4: Simplify right side
    16,569x = 657,358,321
  5. Step 5: Solve for x
    x = 657,358,321/16,569
  6. Step 6: Final answer
    x = 39,673.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.