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Finding the Third Proportional to 13,071.38 and 28,238.63

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Solution

The third proportional to 13,071.38 and 28,238.63 is: 61,005.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,071.38 : 28,238.63 = 28,238.63 : x
  2. Step 2: Convert to fraction form
    13,071.38/28,238.63 = 28,238.63/x
  3. Step 3: Cross multiply
    13,071.38x = 28,238.63 × 28,238.63
  4. Step 4: Simplify right side
    13,071.38x = 797,419,941.89
  5. Step 5: Solve for x
    x = 797,419,941.89/13,071.38
  6. Step 6: Final answer
    x = 61,005.05

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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.