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Finding the Third Proportional to 13,761 and 30,159

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Solution

The third proportional to 13,761 and 30,159 is: 66,097.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,761 : 30,159 = 30,159 : x
  2. Step 2: Convert to fraction form
    13,761/30,159 = 30,159/x
  3. Step 3: Cross multiply
    13,761x = 30,159 × 30,159
  4. Step 4: Simplify right side
    13,761x = 909,565,281
  5. Step 5: Solve for x
    x = 909,565,281/13,761
  6. Step 6: Final answer
    x = 66,097.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.