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Finding the Third Proportional to 12,426 and 14,586

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Solution

The third proportional to 12,426 and 14,586 is: 17,121.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,426 : 14,586 = 14,586 : x
  2. Step 2: Convert to fraction form
    12,426/14,586 = 14,586/x
  3. Step 3: Cross multiply
    12,426x = 14,586 × 14,586
  4. Step 4: Simplify right side
    12,426x = 212,751,396
  5. Step 5: Solve for x
    x = 212,751,396/12,426
  6. Step 6: Final answer
    x = 17,121.47

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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.