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Finding the Third Proportional to 30,837.75 and 66,048.38

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Solution

The third proportional to 30,837.75 and 66,048.38 is: 141,462.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,837.75 : 66,048.38 = 66,048.38 : x
  2. Step 2: Convert to fraction form
    30,837.75/66,048.38 = 66,048.38/x
  3. Step 3: Cross multiply
    30,837.75x = 66,048.38 × 66,048.38
  4. Step 4: Simplify right side
    30,837.75x = 4,362,387,840.14
  5. Step 5: Solve for x
    x = 4,362,387,840.14/30,837.75
  6. Step 6: Final answer
    x = 141,462.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.