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Finding the Third Proportional to 14,159.63 and 33,070.31

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Solution

The third proportional to 14,159.63 and 33,070.31 is: 77,236.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,159.63 : 33,070.31 = 33,070.31 : x
  2. Step 2: Convert to fraction form
    14,159.63/33,070.31 = 33,070.31/x
  3. Step 3: Cross multiply
    14,159.63x = 33,070.31 × 33,070.31
  4. Step 4: Simplify right side
    14,159.63x = 1,093,645,568.85
  5. Step 5: Solve for x
    x = 1,093,645,568.85/14,159.63
  6. Step 6: Final answer
    x = 77,236.90

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.