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Finding the Third Proportional to 15,671 and 23,537

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Solution

The third proportional to 15,671 and 23,537 is: 35,351.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,671 : 23,537 = 23,537 : x
  2. Step 2: Convert to fraction form
    15,671/23,537 = 23,537/x
  3. Step 3: Cross multiply
    15,671x = 23,537 × 23,537
  4. Step 4: Simplify right side
    15,671x = 553,990,369
  5. Step 5: Solve for x
    x = 553,990,369/15,671
  6. Step 6: Final answer
    x = 35,351.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.