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Finding the Third Proportional to 32,307.75 and 48,267.56

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Solution

The third proportional to 32,307.75 and 48,267.56 is: 72,111.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,307.75 : 48,267.56 = 48,267.56 : x
  2. Step 2: Convert to fraction form
    32,307.75/48,267.56 = 48,267.56/x
  3. Step 3: Cross multiply
    32,307.75x = 48,267.56 × 48,267.56
  4. Step 4: Simplify right side
    32,307.75x = 2,329,757,589.69
  5. Step 5: Solve for x
    x = 2,329,757,589.69/32,307.75
  6. Step 6: Final answer
    x = 72,111.42

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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.