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Finding the Third Proportional to 28,849.25 and 65,106.25

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Solution

The third proportional to 28,849.25 and 65,106.25 is: 146,930.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,849.25 : 65,106.25 = 65,106.25 : x
  2. Step 2: Convert to fraction form
    28,849.25/65,106.25 = 65,106.25/x
  3. Step 3: Cross multiply
    28,849.25x = 65,106.25 × 65,106.25
  4. Step 4: Simplify right side
    28,849.25x = 4,238,823,789.06
  5. Step 5: Solve for x
    x = 4,238,823,789.06/28,849.25
  6. Step 6: Final answer
    x = 146,930.12

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.