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Finding the Third Proportional to 14,051.50 and 21,170

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Solution

The third proportional to 14,051.50 and 21,170 is: 31,894.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,051.50 : 21,170 = 21,170 : x
  2. Step 2: Convert to fraction form
    14,051.50/21,170 = 21,170/x
  3. Step 3: Cross multiply
    14,051.50x = 21,170 × 21,170
  4. Step 4: Simplify right side
    14,051.50x = 448,168,900
  5. Step 5: Solve for x
    x = 448,168,900/14,051.50
  6. Step 6: Final answer
    x = 31,894.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.