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Finding the Third Proportional to 14,008 and 28,716

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Solution

The third proportional to 14,008 and 28,716 is: 58,866.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,008 : 28,716 = 28,716 : x
  2. Step 2: Convert to fraction form
    14,008/28,716 = 28,716/x
  3. Step 3: Cross multiply
    14,008x = 28,716 × 28,716
  4. Step 4: Simplify right side
    14,008x = 824,608,656
  5. Step 5: Solve for x
    x = 824,608,656/14,008
  6. Step 6: Final answer
    x = 58,866.98

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.