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Finding the Third Proportional to 30,685.50 and 56,848.50

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Solution

The third proportional to 30,685.50 and 56,848.50 is: 105,318.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,685.50 : 56,848.50 = 56,848.50 : x
  2. Step 2: Convert to fraction form
    30,685.50/56,848.50 = 56,848.50/x
  3. Step 3: Cross multiply
    30,685.50x = 56,848.50 × 56,848.50
  4. Step 4: Simplify right side
    30,685.50x = 3,231,751,952.25
  5. Step 5: Solve for x
    x = 3,231,751,952.25/30,685.50
  6. Step 6: Final answer
    x = 105,318.54

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These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.