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Finding the Third Proportional to 45,930.25 and 65,009.50

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Solution

The third proportional to 45,930.25 and 65,009.50 is: 92,014.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,930.25 : 65,009.50 = 65,009.50 : x
  2. Step 2: Convert to fraction form
    45,930.25/65,009.50 = 65,009.50/x
  3. Step 3: Cross multiply
    45,930.25x = 65,009.50 × 65,009.50
  4. Step 4: Simplify right side
    45,930.25x = 4,226,235,090.25
  5. Step 5: Solve for x
    x = 4,226,235,090.25/45,930.25
  6. Step 6: Final answer
    x = 92,014.20

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.