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Finding the Third Proportional to 30,051 and 45,081

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Solution

The third proportional to 30,051 and 45,081 is: 67,628.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,051 : 45,081 = 45,081 : x
  2. Step 2: Convert to fraction form
    30,051/45,081 = 45,081/x
  3. Step 3: Cross multiply
    30,051x = 45,081 × 45,081
  4. Step 4: Simplify right side
    30,051x = 2,032,296,561
  5. Step 5: Solve for x
    x = 2,032,296,561/30,051
  6. Step 6: Final answer
    x = 67,628.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.