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Finding the Third Proportional to 38,063 and 60,616.50

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Solution

The third proportional to 38,063 and 60,616.50 is: 96,533.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,063 : 60,616.50 = 60,616.50 : x
  2. Step 2: Convert to fraction form
    38,063/60,616.50 = 60,616.50/x
  3. Step 3: Cross multiply
    38,063x = 60,616.50 × 60,616.50
  4. Step 4: Simplify right side
    38,063x = 3,674,360,072.25
  5. Step 5: Solve for x
    x = 3,674,360,072.25/38,063
  6. Step 6: Final answer
    x = 96,533.64

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.