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Finding the Third Proportional to 14,762.25 and 27,371.25

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Solution

The third proportional to 14,762.25 and 27,371.25 is: 50,750.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,762.25 : 27,371.25 = 27,371.25 : x
  2. Step 2: Convert to fraction form
    14,762.25/27,371.25 = 27,371.25/x
  3. Step 3: Cross multiply
    14,762.25x = 27,371.25 × 27,371.25
  4. Step 4: Simplify right side
    14,762.25x = 749,185,326.56
  5. Step 5: Solve for x
    x = 749,185,326.56/14,762.25
  6. Step 6: Final answer
    x = 50,750.08

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.