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Finding the Third Proportional to 46,980.42 and 63,828.21

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Solution

The third proportional to 46,980.42 and 63,828.21 is: 86,717.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,980.42 : 63,828.21 = 63,828.21 : x
  2. Step 2: Convert to fraction form
    46,980.42/63,828.21 = 63,828.21/x
  3. Step 3: Cross multiply
    46,980.42x = 63,828.21 × 63,828.21
  4. Step 4: Simplify right side
    46,980.42x = 4,074,040,511.48
  5. Step 5: Solve for x
    x = 4,074,040,511.48/46,980.42
  6. Step 6: Final answer
    x = 86,717.84

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.