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Finding the Third Proportional to 14,097.09 and 30,398.06

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Solution

The third proportional to 14,097.09 and 30,398.06 is: 65,548.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,097.09 : 30,398.06 = 30,398.06 : x
  2. Step 2: Convert to fraction form
    14,097.09/30,398.06 = 30,398.06/x
  3. Step 3: Cross multiply
    14,097.09x = 30,398.06 × 30,398.06
  4. Step 4: Simplify right side
    14,097.09x = 924,042,203.75
  5. Step 5: Solve for x
    x = 924,042,203.75/14,097.09
  6. Step 6: Final answer
    x = 65,548.42

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.