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Finding the Third Proportional to 28,833.19 and 61,977.38

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Solution

The third proportional to 28,833.19 and 61,977.38 is: 133,221.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,833.19 : 61,977.38 = 61,977.38 : x
  2. Step 2: Convert to fraction form
    28,833.19/61,977.38 = 61,977.38/x
  3. Step 3: Cross multiply
    28,833.19x = 61,977.38 × 61,977.38
  4. Step 4: Simplify right side
    28,833.19x = 3,841,195,011.89
  5. Step 5: Solve for x
    x = 3,841,195,011.89/28,833.19
  6. Step 6: Final answer
    x = 133,221.31

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.