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Finding the Third Proportional to 14,175 and 17,239.50

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Solution

The third proportional to 14,175 and 17,239.50 is: 20,966.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,175 : 17,239.50 = 17,239.50 : x
  2. Step 2: Convert to fraction form
    14,175/17,239.50 = 17,239.50/x
  3. Step 3: Cross multiply
    14,175x = 17,239.50 × 17,239.50
  4. Step 4: Simplify right side
    14,175x = 297,200,360.25
  5. Step 5: Solve for x
    x = 297,200,360.25/14,175
  6. Step 6: Final answer
    x = 20,966.52

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.