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Finding the Third Proportional to 48,073 and 65,952.50

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Solution

The third proportional to 48,073 and 65,952.50 is: 90,481.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,073 : 65,952.50 = 65,952.50 : x
  2. Step 2: Convert to fraction form
    48,073/65,952.50 = 65,952.50/x
  3. Step 3: Cross multiply
    48,073x = 65,952.50 × 65,952.50
  4. Step 4: Simplify right side
    48,073x = 4,349,732,256.25
  5. Step 5: Solve for x
    x = 4,349,732,256.25/48,073
  6. Step 6: Final answer
    x = 90,481.81

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.