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Finding the Third Proportional to 18,123.75 and 38,849.63

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Solution

The third proportional to 18,123.75 and 38,849.63 is: 83,277.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,123.75 : 38,849.63 = 38,849.63 : x
  2. Step 2: Convert to fraction form
    18,123.75/38,849.63 = 38,849.63/x
  3. Step 3: Cross multiply
    18,123.75x = 38,849.63 × 38,849.63
  4. Step 4: Simplify right side
    18,123.75x = 1,509,293,362.64
  5. Step 5: Solve for x
    x = 1,509,293,362.64/18,123.75
  6. Step 6: Final answer
    x = 83,277.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.