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Finding the Third Proportional to 15,511.50 and 24,971.63

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Solution

The third proportional to 15,511.50 and 24,971.63 is: 40,201.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,511.50 : 24,971.63 = 24,971.63 : x
  2. Step 2: Convert to fraction form
    15,511.50/24,971.63 = 24,971.63/x
  3. Step 3: Cross multiply
    15,511.50x = 24,971.63 × 24,971.63
  4. Step 4: Simplify right side
    15,511.50x = 623,582,055.14
  5. Step 5: Solve for x
    x = 623,582,055.14/15,511.50
  6. Step 6: Final answer
    x = 40,201.27

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.