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Finding the Third Proportional to 13,750 and 30,646

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Solution

The third proportional to 13,750 and 30,646 is: 68,303.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,750 : 30,646 = 30,646 : x
  2. Step 2: Convert to fraction form
    13,750/30,646 = 30,646/x
  3. Step 3: Cross multiply
    13,750x = 30,646 × 30,646
  4. Step 4: Simplify right side
    13,750x = 939,177,316
  5. Step 5: Solve for x
    x = 939,177,316/13,750
  6. Step 6: Final answer
    x = 68,303.80

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.