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Finding the Third Proportional to 36,382 and 78,362

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Solution

The third proportional to 36,382 and 78,362 is: 168,781.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,382 : 78,362 = 78,362 : x
  2. Step 2: Convert to fraction form
    36,382/78,362 = 78,362/x
  3. Step 3: Cross multiply
    36,382x = 78,362 × 78,362
  4. Step 4: Simplify right side
    36,382x = 6,140,603,044
  5. Step 5: Solve for x
    x = 6,140,603,044/36,382
  6. Step 6: Final answer
    x = 168,781.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.