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Finding the Third Proportional to 23,078 and 36,154

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Solution

The third proportional to 23,078 and 36,154 is: 56,638.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,078 : 36,154 = 36,154 : x
  2. Step 2: Convert to fraction form
    23,078/36,154 = 36,154/x
  3. Step 3: Cross multiply
    23,078x = 36,154 × 36,154
  4. Step 4: Simplify right side
    23,078x = 1,307,111,716
  5. Step 5: Solve for x
    x = 1,307,111,716/23,078
  6. Step 6: Final answer
    x = 56,638.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.