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Finding the Third Proportional to 30,165 and 45,896

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Solution

The third proportional to 30,165 and 45,896 is: 69,830.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,165 : 45,896 = 45,896 : x
  2. Step 2: Convert to fraction form
    30,165/45,896 = 45,896/x
  3. Step 3: Cross multiply
    30,165x = 45,896 × 45,896
  4. Step 4: Simplify right side
    30,165x = 2,106,442,816
  5. Step 5: Solve for x
    x = 2,106,442,816/30,165
  6. Step 6: Final answer
    x = 69,830.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.