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Finding the Third Proportional to 36,480 and 77,952

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Solution

The third proportional to 36,480 and 77,952 is: 166,571.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,480 : 77,952 = 77,952 : x
  2. Step 2: Convert to fraction form
    36,480/77,952 = 77,952/x
  3. Step 3: Cross multiply
    36,480x = 77,952 × 77,952
  4. Step 4: Simplify right side
    36,480x = 6,076,514,304
  5. Step 5: Solve for x
    x = 6,076,514,304/36,480
  6. Step 6: Final answer
    x = 166,571.12

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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.