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Finding the Third Proportional to 11,708.50 and 25,499

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Solution

The third proportional to 11,708.50 and 25,499 is: 55,532.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,708.50 : 25,499 = 25,499 : x
  2. Step 2: Convert to fraction form
    11,708.50/25,499 = 25,499/x
  3. Step 3: Cross multiply
    11,708.50x = 25,499 × 25,499
  4. Step 4: Simplify right side
    11,708.50x = 650,199,001
  5. Step 5: Solve for x
    x = 650,199,001/11,708.50
  6. Step 6: Final answer
    x = 55,532.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.