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Finding the Third Proportional to 24,124.50 and 32,420.25

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Solution

The third proportional to 24,124.50 and 32,420.25 is: 43,568.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,124.50 : 32,420.25 = 32,420.25 : x
  2. Step 2: Convert to fraction form
    24,124.50/32,420.25 = 32,420.25/x
  3. Step 3: Cross multiply
    24,124.50x = 32,420.25 × 32,420.25
  4. Step 4: Simplify right side
    24,124.50x = 1,051,072,610.06
  5. Step 5: Solve for x
    x = 1,051,072,610.06/24,124.50
  6. Step 6: Final answer
    x = 43,568.68

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.