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Finding the Third Proportional to 21,676.50 and 47,317.50

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Solution

The third proportional to 21,676.50 and 47,317.50 is: 103,289.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,676.50 : 47,317.50 = 47,317.50 : x
  2. Step 2: Convert to fraction form
    21,676.50/47,317.50 = 47,317.50/x
  3. Step 3: Cross multiply
    21,676.50x = 47,317.50 × 47,317.50
  4. Step 4: Simplify right side
    21,676.50x = 2,238,945,806.25
  5. Step 5: Solve for x
    x = 2,238,945,806.25/21,676.50
  6. Step 6: Final answer
    x = 103,289.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.