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Finding the Third Proportional to 44,760 and 65,632.50

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Solution

The third proportional to 44,760 and 65,632.50 is: 96,238.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,760 : 65,632.50 = 65,632.50 : x
  2. Step 2: Convert to fraction form
    44,760/65,632.50 = 65,632.50/x
  3. Step 3: Cross multiply
    44,760x = 65,632.50 × 65,632.50
  4. Step 4: Simplify right side
    44,760x = 4,307,625,056.25
  5. Step 5: Solve for x
    x = 4,307,625,056.25/44,760
  6. Step 6: Final answer
    x = 96,238.27

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.