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Finding the Third Proportional to 15,736.78 and 24,402.94

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Solution

The third proportional to 15,736.78 and 24,402.94 is: 37,841.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,736.78 : 24,402.94 = 24,402.94 : x
  2. Step 2: Convert to fraction form
    15,736.78/24,402.94 = 24,402.94/x
  3. Step 3: Cross multiply
    15,736.78x = 24,402.94 × 24,402.94
  4. Step 4: Simplify right side
    15,736.78x = 595,503,358.63
  5. Step 5: Solve for x
    x = 595,503,358.63/15,736.78
  6. Step 6: Final answer
    x = 37,841.50

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.