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Finding the Third Proportional to 10,976.34 and 25,881.61

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Solution

The third proportional to 10,976.34 and 25,881.61 is: 61,027.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,976.34 : 25,881.61 = 25,881.61 : x
  2. Step 2: Convert to fraction form
    10,976.34/25,881.61 = 25,881.61/x
  3. Step 3: Cross multiply
    10,976.34x = 25,881.61 × 25,881.61
  4. Step 4: Simplify right side
    10,976.34x = 669,857,703.84
  5. Step 5: Solve for x
    x = 669,857,703.84/10,976.34
  6. Step 6: Final answer
    x = 61,027.40

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.