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Finding the Third Proportional to 6,154 and 13,538.13

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Solution

The third proportional to 6,154 and 13,538.13 is: 29,782.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154 : 13,538.13 = 13,538.13 : x
  2. Step 2: Convert to fraction form
    6,154/13,538.13 = 13,538.13/x
  3. Step 3: Cross multiply
    6,154x = 13,538.13 × 13,538.13
  4. Step 4: Simplify right side
    6,154x = 183,280,828.52
  5. Step 5: Solve for x
    x = 183,280,828.52/6,154
  6. Step 6: Final answer
    x = 29,782.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.