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Finding the Third Proportional to 14,068.69 and 33,103.69

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Solution

The third proportional to 14,068.69 and 33,103.69 is: 77,893.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,068.69 : 33,103.69 = 33,103.69 : x
  2. Step 2: Convert to fraction form
    14,068.69/33,103.69 = 33,103.69/x
  3. Step 3: Cross multiply
    14,068.69x = 33,103.69 × 33,103.69
  4. Step 4: Simplify right side
    14,068.69x = 1,095,854,126.10
  5. Step 5: Solve for x
    x = 1,095,854,126.10/14,068.69
  6. Step 6: Final answer
    x = 77,893.13

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.