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Finding the Third Proportional to 10,904.63 and 25,251.75

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Solution

The third proportional to 10,904.63 and 25,251.75 is: 58,475.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,904.63 : 25,251.75 = 25,251.75 : x
  2. Step 2: Convert to fraction form
    10,904.63/25,251.75 = 25,251.75/x
  3. Step 3: Cross multiply
    10,904.63x = 25,251.75 × 25,251.75
  4. Step 4: Simplify right side
    10,904.63x = 637,650,878.06
  5. Step 5: Solve for x
    x = 637,650,878.06/10,904.63
  6. Step 6: Final answer
    x = 58,475.27

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.