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Finding the Third Proportional to 48,663.50 and 65,477

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Solution

The third proportional to 48,663.50 and 65,477 is: 88,099.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,663.50 : 65,477 = 65,477 : x
  2. Step 2: Convert to fraction form
    48,663.50/65,477 = 65,477/x
  3. Step 3: Cross multiply
    48,663.50x = 65,477 × 65,477
  4. Step 4: Simplify right side
    48,663.50x = 4,287,237,529
  5. Step 5: Solve for x
    x = 4,287,237,529/48,663.50
  6. Step 6: Final answer
    x = 88,099.65

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.