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Finding the Third Proportional to 24,308.75 and 53,369.50

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Solution

The third proportional to 24,308.75 and 53,369.50 is: 117,171.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,308.75 : 53,369.50 = 53,369.50 : x
  2. Step 2: Convert to fraction form
    24,308.75/53,369.50 = 53,369.50/x
  3. Step 3: Cross multiply
    24,308.75x = 53,369.50 × 53,369.50
  4. Step 4: Simplify right side
    24,308.75x = 2,848,303,530.25
  5. Step 5: Solve for x
    x = 2,848,303,530.25/24,308.75
  6. Step 6: Final answer
    x = 117,171.95

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.