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Finding the Third Proportional to 38,121 and 54,463.50

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Solution

The third proportional to 38,121 and 54,463.50 is: 77,812.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,121 : 54,463.50 = 54,463.50 : x
  2. Step 2: Convert to fraction form
    38,121/54,463.50 = 54,463.50/x
  3. Step 3: Cross multiply
    38,121x = 54,463.50 × 54,463.50
  4. Step 4: Simplify right side
    38,121x = 2,966,272,832.25
  5. Step 5: Solve for x
    x = 2,966,272,832.25/38,121
  6. Step 6: Final answer
    x = 77,812.04

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.