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Finding the Third Proportional to 10,746.58 and 25,286.25

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Solution

The third proportional to 10,746.58 and 25,286.25 is: 59,497.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,746.58 : 25,286.25 = 25,286.25 : x
  2. Step 2: Convert to fraction form
    10,746.58/25,286.25 = 25,286.25/x
  3. Step 3: Cross multiply
    10,746.58x = 25,286.25 × 25,286.25
  4. Step 4: Simplify right side
    10,746.58x = 639,394,513.14
  5. Step 5: Solve for x
    x = 639,394,513.14/10,746.58
  6. Step 6: Final answer
    x = 59,497.49

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.