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Finding the Third Proportional to 15,054.75 and 31,304.25

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Solution

The third proportional to 15,054.75 and 31,304.25 is: 65,092.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,054.75 : 31,304.25 = 31,304.25 : x
  2. Step 2: Convert to fraction form
    15,054.75/31,304.25 = 31,304.25/x
  3. Step 3: Cross multiply
    15,054.75x = 31,304.25 × 31,304.25
  4. Step 4: Simplify right side
    15,054.75x = 979,956,068.06
  5. Step 5: Solve for x
    x = 979,956,068.06/15,054.75
  6. Step 6: Final answer
    x = 65,092.82

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.