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Finding the Third Proportional to 32,465.81 and 50,749.03

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Solution

The third proportional to 32,465.81 and 50,749.03 is: 79,328.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,465.81 : 50,749.03 = 50,749.03 : x
  2. Step 2: Convert to fraction form
    32,465.81/50,749.03 = 50,749.03/x
  3. Step 3: Cross multiply
    32,465.81x = 50,749.03 × 50,749.03
  4. Step 4: Simplify right side
    32,465.81x = 2,575,464,172.81
  5. Step 5: Solve for x
    x = 2,575,464,172.81/32,465.81
  6. Step 6: Final answer
    x = 79,328.50

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.