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Finding the Third Proportional to 54,029.81 and 86,811.47

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Solution

The third proportional to 54,029.81 and 86,811.47 is: 139,482.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,029.81 : 86,811.47 = 86,811.47 : x
  2. Step 2: Convert to fraction form
    54,029.81/86,811.47 = 86,811.47/x
  3. Step 3: Cross multiply
    54,029.81x = 86,811.47 × 86,811.47
  4. Step 4: Simplify right side
    54,029.81x = 7,536,231,106.53
  5. Step 5: Solve for x
    x = 7,536,231,106.53/54,029.81
  6. Step 6: Final answer
    x = 139,482.83

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.