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Finding the Third Proportional to 36,324 and 77,574

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Solution

The third proportional to 36,324 and 77,574 is: 165,668.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,324 : 77,574 = 77,574 : x
  2. Step 2: Convert to fraction form
    36,324/77,574 = 77,574/x
  3. Step 3: Cross multiply
    36,324x = 77,574 × 77,574
  4. Step 4: Simplify right side
    36,324x = 6,017,725,476
  5. Step 5: Solve for x
    x = 6,017,725,476/36,324
  6. Step 6: Final answer
    x = 165,668.03

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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.