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Finding the Third Proportional to 14,293.13 and 33,400.69

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Solution

The third proportional to 14,293.13 and 33,400.69 is: 78,051.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,293.13 : 33,400.69 = 33,400.69 : x
  2. Step 2: Convert to fraction form
    14,293.13/33,400.69 = 33,400.69/x
  3. Step 3: Cross multiply
    14,293.13x = 33,400.69 × 33,400.69
  4. Step 4: Simplify right side
    14,293.13x = 1,115,605,925.47
  5. Step 5: Solve for x
    x = 1,115,605,925.47/14,293.13
  6. Step 6: Final answer
    x = 78,051.93

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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.