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Finding the Third Proportional to 14,008 and 28,588

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Solution

The third proportional to 14,008 and 28,588 is: 58,343.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,008 : 28,588 = 28,588 : x
  2. Step 2: Convert to fraction form
    14,008/28,588 = 28,588/x
  3. Step 3: Cross multiply
    14,008x = 28,588 × 28,588
  4. Step 4: Simplify right side
    14,008x = 817,273,744
  5. Step 5: Solve for x
    x = 817,273,744/14,008
  6. Step 6: Final answer
    x = 58,343.36

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.