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Finding the Third Proportional to 17,048 and 36,465.50

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Solution

The third proportional to 17,048 and 36,465.50 is: 77,999.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,048 : 36,465.50 = 36,465.50 : x
  2. Step 2: Convert to fraction form
    17,048/36,465.50 = 36,465.50/x
  3. Step 3: Cross multiply
    17,048x = 36,465.50 × 36,465.50
  4. Step 4: Simplify right side
    17,048x = 1,329,732,690.25
  5. Step 5: Solve for x
    x = 1,329,732,690.25/17,048
  6. Step 6: Final answer
    x = 77,999.34

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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.