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Finding the Third Proportional to 39,480 and 52,164

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Solution

The third proportional to 39,480 and 52,164 is: 68,923.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,480 : 52,164 = 52,164 : x
  2. Step 2: Convert to fraction form
    39,480/52,164 = 52,164/x
  3. Step 3: Cross multiply
    39,480x = 52,164 × 52,164
  4. Step 4: Simplify right side
    39,480x = 2,721,082,896
  5. Step 5: Solve for x
    x = 2,721,082,896/39,480
  6. Step 6: Final answer
    x = 68,923.07

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.