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Finding the Third Proportional to 13,708.50 and 21,687

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Solution

The third proportional to 13,708.50 and 21,687 is: 34,309.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,708.50 : 21,687 = 21,687 : x
  2. Step 2: Convert to fraction form
    13,708.50/21,687 = 21,687/x
  3. Step 3: Cross multiply
    13,708.50x = 21,687 × 21,687
  4. Step 4: Simplify right side
    13,708.50x = 470,325,969
  5. Step 5: Solve for x
    x = 470,325,969/13,708.50
  6. Step 6: Final answer
    x = 34,309.08

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.