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Finding the Third Proportional to 12,584 and 14,728

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Solution

The third proportional to 12,584 and 14,728 is: 17,237.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584 : 14,728 = 14,728 : x
  2. Step 2: Convert to fraction form
    12,584/14,728 = 14,728/x
  3. Step 3: Cross multiply
    12,584x = 14,728 × 14,728
  4. Step 4: Simplify right side
    12,584x = 216,913,984
  5. Step 5: Solve for x
    x = 216,913,984/12,584
  6. Step 6: Final answer
    x = 17,237.28

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.