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Finding the Third Proportional to 4,254.75 and 10,285.88

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Solution

The third proportional to 4,254.75 and 10,285.88 is: 24,866.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,254.75 : 10,285.88 = 10,285.88 : x
  2. Step 2: Convert to fraction form
    4,254.75/10,285.88 = 10,285.88/x
  3. Step 3: Cross multiply
    4,254.75x = 10,285.88 × 10,285.88
  4. Step 4: Simplify right side
    4,254.75x = 105,799,224.52
  5. Step 5: Solve for x
    x = 105,799,224.52/4,254.75
  6. Step 6: Final answer
    x = 24,866.14

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.