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Finding the Third Proportional to 46,589.25 and 62,071.88

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Solution

The third proportional to 46,589.25 and 62,071.88 is: 82,699.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,589.25 : 62,071.88 = 62,071.88 : x
  2. Step 2: Convert to fraction form
    46,589.25/62,071.88 = 62,071.88/x
  3. Step 3: Cross multiply
    46,589.25x = 62,071.88 × 62,071.88
  4. Step 4: Simplify right side
    46,589.25x = 3,852,917,666.02
  5. Step 5: Solve for x
    x = 3,852,917,666.02/46,589.25
  6. Step 6: Final answer
    x = 82,699.71

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.