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Finding the Third Proportional to 45,420.25 and 65,016.25

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Solution

The third proportional to 45,420.25 and 65,016.25 is: 93,066.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,420.25 : 65,016.25 = 65,016.25 : x
  2. Step 2: Convert to fraction form
    45,420.25/65,016.25 = 65,016.25/x
  3. Step 3: Cross multiply
    45,420.25x = 65,016.25 × 65,016.25
  4. Step 4: Simplify right side
    45,420.25x = 4,227,112,764.06
  5. Step 5: Solve for x
    x = 4,227,112,764.06/45,420.25
  6. Step 6: Final answer
    x = 93,066.70

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.