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Finding the Third Proportional to 45,301.50 and 65,335.50

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Solution

The third proportional to 45,301.50 and 65,335.50 is: 94,229.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,301.50 : 65,335.50 = 65,335.50 : x
  2. Step 2: Convert to fraction form
    45,301.50/65,335.50 = 65,335.50/x
  3. Step 3: Cross multiply
    45,301.50x = 65,335.50 × 65,335.50
  4. Step 4: Simplify right side
    45,301.50x = 4,268,727,560.25
  5. Step 5: Solve for x
    x = 4,268,727,560.25/45,301.50
  6. Step 6: Final answer
    x = 94,229.28

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.