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Finding the Third Proportional to 6,281 and 13,537

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Solution

The third proportional to 6,281 and 13,537 is: 29,175.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,281 : 13,537 = 13,537 : x
  2. Step 2: Convert to fraction form
    6,281/13,537 = 13,537/x
  3. Step 3: Cross multiply
    6,281x = 13,537 × 13,537
  4. Step 4: Simplify right side
    6,281x = 183,250,369
  5. Step 5: Solve for x
    x = 183,250,369/6,281
  6. Step 6: Final answer
    x = 29,175.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.