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Finding the Third Proportional to 46,590.75 and 73,805.63

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Solution

The third proportional to 46,590.75 and 73,805.63 is: 116,917.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,590.75 : 73,805.63 = 73,805.63 : x
  2. Step 2: Convert to fraction form
    46,590.75/73,805.63 = 73,805.63/x
  3. Step 3: Cross multiply
    46,590.75x = 73,805.63 × 73,805.63
  4. Step 4: Simplify right side
    46,590.75x = 5,447,270,281.64
  5. Step 5: Solve for x
    x = 5,447,270,281.64/46,590.75
  6. Step 6: Final answer
    x = 116,917.42

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.