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Finding the Third Proportional to 36,073 and 55,477.50

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Solution

The third proportional to 36,073 and 55,477.50 is: 85,320.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,073 : 55,477.50 = 55,477.50 : x
  2. Step 2: Convert to fraction form
    36,073/55,477.50 = 55,477.50/x
  3. Step 3: Cross multiply
    36,073x = 55,477.50 × 55,477.50
  4. Step 4: Simplify right side
    36,073x = 3,077,753,006.25
  5. Step 5: Solve for x
    x = 3,077,753,006.25/36,073
  6. Step 6: Final answer
    x = 85,320.13

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.