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Finding the Third Proportional to 27,237 and 64,398.75

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Solution

The third proportional to 27,237 and 64,398.75 is: 152,263.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,237 : 64,398.75 = 64,398.75 : x
  2. Step 2: Convert to fraction form
    27,237/64,398.75 = 64,398.75/x
  3. Step 3: Cross multiply
    27,237x = 64,398.75 × 64,398.75
  4. Step 4: Simplify right side
    27,237x = 4,147,199,001.56
  5. Step 5: Solve for x
    x = 4,147,199,001.56/27,237
  6. Step 6: Final answer
    x = 152,263.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.