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Finding the Third Proportional to 30,272 and 46,032

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Solution

The third proportional to 30,272 and 46,032 is: 69,996.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,272 : 46,032 = 46,032 : x
  2. Step 2: Convert to fraction form
    30,272/46,032 = 46,032/x
  3. Step 3: Cross multiply
    30,272x = 46,032 × 46,032
  4. Step 4: Simplify right side
    30,272x = 2,118,945,024
  5. Step 5: Solve for x
    x = 2,118,945,024/30,272
  6. Step 6: Final answer
    x = 69,996.86

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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.