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Finding the Third Proportional to 11,347.63 and 17,500

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Solution

The third proportional to 11,347.63 and 17,500 is: 26,988.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,347.63 : 17,500 = 17,500 : x
  2. Step 2: Convert to fraction form
    11,347.63/17,500 = 17,500/x
  3. Step 3: Cross multiply
    11,347.63x = 17,500 × 17,500
  4. Step 4: Simplify right side
    11,347.63x = 306,250,000
  5. Step 5: Solve for x
    x = 306,250,000/11,347.63
  6. Step 6: Final answer
    x = 26,988.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.