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Finding the Third Proportional to 14,035 and 21,458

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Solution

The third proportional to 14,035 and 21,458 is: 32,806.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,035 : 21,458 = 21,458 : x
  2. Step 2: Convert to fraction form
    14,035/21,458 = 21,458/x
  3. Step 3: Cross multiply
    14,035x = 21,458 × 21,458
  4. Step 4: Simplify right side
    14,035x = 460,445,764
  5. Step 5: Solve for x
    x = 460,445,764/14,035
  6. Step 6: Final answer
    x = 32,806.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.