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Finding the Third Proportional to 12,988.50 and 28,173

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Solution

The third proportional to 12,988.50 and 28,173 is: 61,109.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,988.50 : 28,173 = 28,173 : x
  2. Step 2: Convert to fraction form
    12,988.50/28,173 = 28,173/x
  3. Step 3: Cross multiply
    12,988.50x = 28,173 × 28,173
  4. Step 4: Simplify right side
    12,988.50x = 793,717,929
  5. Step 5: Solve for x
    x = 793,717,929/12,988.50
  6. Step 6: Final answer
    x = 61,109.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.