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Finding the Third Proportional to 34,468.03 and 48,774.66

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Solution

The third proportional to 34,468.03 and 48,774.66 is: 69,019.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,468.03 : 48,774.66 = 48,774.66 : x
  2. Step 2: Convert to fraction form
    34,468.03/48,774.66 = 48,774.66/x
  3. Step 3: Cross multiply
    34,468.03x = 48,774.66 × 48,774.66
  4. Step 4: Simplify right side
    34,468.03x = 2,378,967,092.31
  5. Step 5: Solve for x
    x = 2,378,967,092.31/34,468.03
  6. Step 6: Final answer
    x = 69,019.52

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.