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Finding the Third Proportional to 21,167.50 and 46,654.56

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Solution

The third proportional to 21,167.50 and 46,654.56 is: 102,829.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,167.50 : 46,654.56 = 46,654.56 : x
  2. Step 2: Convert to fraction form
    21,167.50/46,654.56 = 46,654.56/x
  3. Step 3: Cross multiply
    21,167.50x = 46,654.56 × 46,654.56
  4. Step 4: Simplify right side
    21,167.50x = 2,176,648,202.07
  5. Step 5: Solve for x
    x = 2,176,648,202.07/21,167.50
  6. Step 6: Final answer
    x = 102,829.72

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