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Finding the Third Proportional to 24,555.75 and 53,609.50

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Solution

The third proportional to 24,555.75 and 53,609.50 is: 117,038.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,555.75 : 53,609.50 = 53,609.50 : x
  2. Step 2: Convert to fraction form
    24,555.75/53,609.50 = 53,609.50/x
  3. Step 3: Cross multiply
    24,555.75x = 53,609.50 × 53,609.50
  4. Step 4: Simplify right side
    24,555.75x = 2,873,978,490.25
  5. Step 5: Solve for x
    x = 2,873,978,490.25/24,555.75
  6. Step 6: Final answer
    x = 117,038.92

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.