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Finding the Third Proportional to 26,863 and 63,188.50

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Solution

The third proportional to 26,863 and 63,188.50 is: 148,635.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,863 : 63,188.50 = 63,188.50 : x
  2. Step 2: Convert to fraction form
    26,863/63,188.50 = 63,188.50/x
  3. Step 3: Cross multiply
    26,863x = 63,188.50 × 63,188.50
  4. Step 4: Simplify right side
    26,863x = 3,992,786,532.25
  5. Step 5: Solve for x
    x = 3,992,786,532.25/26,863
  6. Step 6: Final answer
    x = 148,635.17

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.