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Finding the Third Proportional to 12,237.75 and 16,061.63

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Solution

The third proportional to 12,237.75 and 16,061.63 is: 21,080.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,237.75 : 16,061.63 = 16,061.63 : x
  2. Step 2: Convert to fraction form
    12,237.75/16,061.63 = 16,061.63/x
  3. Step 3: Cross multiply
    12,237.75x = 16,061.63 × 16,061.63
  4. Step 4: Simplify right side
    12,237.75x = 257,975,797.64
  5. Step 5: Solve for x
    x = 257,975,797.64/12,237.75
  6. Step 6: Final answer
    x = 21,080.33

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.