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Finding the Third Proportional to 30,508 and 55,952

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Solution

The third proportional to 30,508 and 55,952 is: 102,616.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,508 : 55,952 = 55,952 : x
  2. Step 2: Convert to fraction form
    30,508/55,952 = 55,952/x
  3. Step 3: Cross multiply
    30,508x = 55,952 × 55,952
  4. Step 4: Simplify right side
    30,508x = 3,130,626,304
  5. Step 5: Solve for x
    x = 3,130,626,304/30,508
  6. Step 6: Final answer
    x = 102,616.57

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.