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Finding the Third Proportional to 36,294 and 77,509

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Solution

The third proportional to 36,294 and 77,509 is: 165,527.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,294 : 77,509 = 77,509 : x
  2. Step 2: Convert to fraction form
    36,294/77,509 = 77,509/x
  3. Step 3: Cross multiply
    36,294x = 77,509 × 77,509
  4. Step 4: Simplify right side
    36,294x = 6,007,645,081
  5. Step 5: Solve for x
    x = 6,007,645,081/36,294
  6. Step 6: Final answer
    x = 165,527.22

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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.