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Finding the Third Proportional to 38,809.13 and 54,933.19

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Solution

The third proportional to 38,809.13 and 54,933.19 is: 77,756.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,809.13 : 54,933.19 = 54,933.19 : x
  2. Step 2: Convert to fraction form
    38,809.13/54,933.19 = 54,933.19/x
  3. Step 3: Cross multiply
    38,809.13x = 54,933.19 × 54,933.19
  4. Step 4: Simplify right side
    38,809.13x = 3,017,655,088.91
  5. Step 5: Solve for x
    x = 3,017,655,088.91/38,809.13
  6. Step 6: Final answer
    x = 77,756.33

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.