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Finding the Third Proportional to 46,584 and 73,800

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Solution

The third proportional to 46,584 and 73,800 is: 116,916.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,584 : 73,800 = 73,800 : x
  2. Step 2: Convert to fraction form
    46,584/73,800 = 73,800/x
  3. Step 3: Cross multiply
    46,584x = 73,800 × 73,800
  4. Step 4: Simplify right side
    46,584x = 5,446,440,000
  5. Step 5: Solve for x
    x = 5,446,440,000/46,584
  6. Step 6: Final answer
    x = 116,916.54

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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.