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Finding the Third Proportional to 14,429 and 21,586

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Solution

The third proportional to 14,429 and 21,586 is: 32,292.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,429 : 21,586 = 21,586 : x
  2. Step 2: Convert to fraction form
    14,429/21,586 = 21,586/x
  3. Step 3: Cross multiply
    14,429x = 21,586 × 21,586
  4. Step 4: Simplify right side
    14,429x = 465,955,396
  5. Step 5: Solve for x
    x = 465,955,396/14,429
  6. Step 6: Final answer
    x = 32,292.98

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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.