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Finding the Third Proportional to 13,070.25 and 31,055.63

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Solution

The third proportional to 13,070.25 and 31,055.63 is: 73,789.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,070.25 : 31,055.63 = 31,055.63 : x
  2. Step 2: Convert to fraction form
    13,070.25/31,055.63 = 31,055.63/x
  3. Step 3: Cross multiply
    13,070.25x = 31,055.63 × 31,055.63
  4. Step 4: Simplify right side
    13,070.25x = 964,451,844.14
  5. Step 5: Solve for x
    x = 964,451,844.14/13,070.25
  6. Step 6: Final answer
    x = 73,789.85

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These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.