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Finding the Third Proportional to 30,016 and 46,272

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Solution

The third proportional to 30,016 and 46,272 is: 71,331.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,016 : 46,272 = 46,272 : x
  2. Step 2: Convert to fraction form
    30,016/46,272 = 46,272/x
  3. Step 3: Cross multiply
    30,016x = 46,272 × 46,272
  4. Step 4: Simplify right side
    30,016x = 2,141,097,984
  5. Step 5: Solve for x
    x = 2,141,097,984/30,016
  6. Step 6: Final answer
    x = 71,331.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.