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Finding the Third Proportional to 14,026.22 and 30,691.69

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Solution

The third proportional to 14,026.22 and 30,691.69 is: 67,158.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,026.22 : 30,691.69 = 30,691.69 : x
  2. Step 2: Convert to fraction form
    14,026.22/30,691.69 = 30,691.69/x
  3. Step 3: Cross multiply
    14,026.22x = 30,691.69 × 30,691.69
  4. Step 4: Simplify right side
    14,026.22x = 941,979,681.60
  5. Step 5: Solve for x
    x = 941,979,681.60/14,026.22
  6. Step 6: Final answer
    x = 67,158.49

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.