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Finding the Third Proportional to 15,971.16 and 24,623.09

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Solution

The third proportional to 15,971.16 and 24,623.09 is: 37,961.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,971.16 : 24,623.09 = 24,623.09 : x
  2. Step 2: Convert to fraction form
    15,971.16/24,623.09 = 24,623.09/x
  3. Step 3: Cross multiply
    15,971.16x = 24,623.09 × 24,623.09
  4. Step 4: Simplify right side
    15,971.16x = 606,296,577.50
  5. Step 5: Solve for x
    x = 606,296,577.50/15,971.16
  6. Step 6: Final answer
    x = 37,961.96

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.