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Finding the Third Proportional to 13,538.50 and 28,160.38

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Solution

The third proportional to 13,538.50 and 28,160.38 is: 58,574.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,538.50 : 28,160.38 = 28,160.38 : x
  2. Step 2: Convert to fraction form
    13,538.50/28,160.38 = 28,160.38/x
  3. Step 3: Cross multiply
    13,538.50x = 28,160.38 × 28,160.38
  4. Step 4: Simplify right side
    13,538.50x = 793,006,720.14
  5. Step 5: Solve for x
    x = 793,006,720.14/13,538.50
  6. Step 6: Final answer
    x = 58,574.19

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Why These Related Problems?

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