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Finding the Third Proportional to 30,832.31 and 66,038.63

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Solution

The third proportional to 30,832.31 and 66,038.63 is: 141,445.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,832.31 : 66,038.63 = 66,038.63 : x
  2. Step 2: Convert to fraction form
    30,832.31/66,038.63 = 66,038.63/x
  3. Step 3: Cross multiply
    30,832.31x = 66,038.63 × 66,038.63
  4. Step 4: Simplify right side
    30,832.31x = 4,361,099,991.89
  5. Step 5: Solve for x
    x = 4,361,099,991.89/30,832.31
  6. Step 6: Final answer
    x = 141,445.76

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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.