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Finding the Third Proportional to 21,849.75 and 36,510.75

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Solution

The third proportional to 21,849.75 and 36,510.75 is: 61,009.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,849.75 : 36,510.75 = 36,510.75 : x
  2. Step 2: Convert to fraction form
    21,849.75/36,510.75 = 36,510.75/x
  3. Step 3: Cross multiply
    21,849.75x = 36,510.75 × 36,510.75
  4. Step 4: Simplify right side
    21,849.75x = 1,333,034,865.56
  5. Step 5: Solve for x
    x = 1,333,034,865.56/21,849.75
  6. Step 6: Final answer
    x = 61,009.16

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.