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Finding the Third Proportional to 17,052 and 36,473

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Solution

The third proportional to 17,052 and 36,473 is: 78,013.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,052 : 36,473 = 36,473 : x
  2. Step 2: Convert to fraction form
    17,052/36,473 = 36,473/x
  3. Step 3: Cross multiply
    17,052x = 36,473 × 36,473
  4. Step 4: Simplify right side
    17,052x = 1,330,279,729
  5. Step 5: Solve for x
    x = 1,330,279,729/17,052
  6. Step 6: Final answer
    x = 78,013.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.