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Finding the Third Proportional to 48,973 and 72,739.50

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Solution

The third proportional to 48,973 and 72,739.50 is: 108,039.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,973 : 72,739.50 = 72,739.50 : x
  2. Step 2: Convert to fraction form
    48,973/72,739.50 = 72,739.50/x
  3. Step 3: Cross multiply
    48,973x = 72,739.50 × 72,739.50
  4. Step 4: Simplify right side
    48,973x = 5,291,034,860.25
  5. Step 5: Solve for x
    x = 5,291,034,860.25/48,973
  6. Step 6: Final answer
    x = 108,039.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.