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Finding the Third Proportional to 13,114.41 and 28,301.91

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Solution

The third proportional to 13,114.41 and 28,301.91 is: 61,077.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114.41 : 28,301.91 = 28,301.91 : x
  2. Step 2: Convert to fraction form
    13,114.41/28,301.91 = 28,301.91/x
  3. Step 3: Cross multiply
    13,114.41x = 28,301.91 × 28,301.91
  4. Step 4: Simplify right side
    13,114.41x = 800,997,897.38
  5. Step 5: Solve for x
    x = 800,997,897.38/13,114.41
  6. Step 6: Final answer
    x = 61,077.71

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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.