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Finding the Third Proportional to 4,158 and 10,354.50

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Solution

The third proportional to 4,158 and 10,354.50 is: 25,785.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,158 : 10,354.50 = 10,354.50 : x
  2. Step 2: Convert to fraction form
    4,158/10,354.50 = 10,354.50/x
  3. Step 3: Cross multiply
    4,158x = 10,354.50 × 10,354.50
  4. Step 4: Simplify right side
    4,158x = 107,215,670.25
  5. Step 5: Solve for x
    x = 107,215,670.25/4,158
  6. Step 6: Final answer
    x = 25,785.39

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These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.