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Finding the Third Proportional to 32,054.50 and 47,039.75

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Solution

The third proportional to 32,054.50 and 47,039.75 is: 69,030.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,054.50 : 47,039.75 = 47,039.75 : x
  2. Step 2: Convert to fraction form
    32,054.50/47,039.75 = 47,039.75/x
  3. Step 3: Cross multiply
    32,054.50x = 47,039.75 × 47,039.75
  4. Step 4: Simplify right side
    32,054.50x = 2,212,738,080.06
  5. Step 5: Solve for x
    x = 2,212,738,080.06/32,054.50
  6. Step 6: Final answer
    x = 69,030.50

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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.