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Finding the Third Proportional to 14,986 and 21,588

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Solution

The third proportional to 14,986 and 21,588 is: 31,098.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,986 : 21,588 = 21,588 : x
  2. Step 2: Convert to fraction form
    14,986/21,588 = 21,588/x
  3. Step 3: Cross multiply
    14,986x = 21,588 × 21,588
  4. Step 4: Simplify right side
    14,986x = 466,041,744
  5. Step 5: Solve for x
    x = 466,041,744/14,986
  6. Step 6: Final answer
    x = 31,098.47

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.