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Finding the Third Proportional to 32,193.75 and 49,848.38

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Solution

The third proportional to 32,193.75 and 49,848.38 is: 77,184.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,193.75 : 49,848.38 = 49,848.38 : x
  2. Step 2: Convert to fraction form
    32,193.75/49,848.38 = 49,848.38/x
  3. Step 3: Cross multiply
    32,193.75x = 49,848.38 × 49,848.38
  4. Step 4: Simplify right side
    32,193.75x = 2,484,860,490.14
  5. Step 5: Solve for x
    x = 2,484,860,490.14/32,193.75
  6. Step 6: Final answer
    x = 77,184.56

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.