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Finding the Third Proportional to 25,434 and 33,979.50

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Solution

The third proportional to 25,434 and 33,979.50 is: 45,396.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,434 : 33,979.50 = 33,979.50 : x
  2. Step 2: Convert to fraction form
    25,434/33,979.50 = 33,979.50/x
  3. Step 3: Cross multiply
    25,434x = 33,979.50 × 33,979.50
  4. Step 4: Simplify right side
    25,434x = 1,154,606,420.25
  5. Step 5: Solve for x
    x = 1,154,606,420.25/25,434
  6. Step 6: Final answer
    x = 45,396.18

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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.